1045184695360 has 112 divisors (see below), whose sum is σ = 2684407316976. Its totient is φ = 385322360832.

The previous prime is 1045184695349. The next prime is 1045184695361. The reversal of 1045184695360 is 635964815401.

It is a happy number.

1045184695360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 223812255744 + 821372439616 = 473088^2 + 906296^2 .

It is a super-3 number, since 3×1045184695360³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 1045184695298 and 1045184695307.

It is not an unprimeable number, because it can be changed into a prime (1045184695361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2524102 + ... + 2908858.

It is an arithmetic number, because the mean of its divisors is an integer number (23967922473).

Almost surely, 2^{1045184695360} is an apocalyptic number.

1045184695360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045184695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342203658488).

1045184695360 is an abundant number, since it is smaller than the sum of its proper divisors (1639222621616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1045184695360 is a wasteful number, since it uses less digits than its factorization.

1045184695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385440 (or 385430 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 1045184695360 in words is "one trillion, forty-five billion, one hundred eighty-four million, six hundred ninety-five thousand, three hundred sixty".