1145652815520 has 288 divisors, whose sum is σ = 4056762528000. Its totient is φ = 305324743680.

The previous prime is 1145652815443. The next prime is 1145652815537. The reversal of 1145652815520 is 255182565411.

1145652815520 is a `hidden beast` number, since 1 + 1 + 4 + 56 + 528 + 1 + 55 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72736606 + ... + 72752354.

It is an arithmetic number, because the mean of its divisors is an integer number (14085981000).

Almost surely, 2^{1145652815520} is an apocalyptic number.

1145652815520 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 1145652815520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028381264000).

1145652815520 is an abundant number, since it is smaller than the sum of its proper divisors (2911109712480).

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

1145652815520 is a wasteful number, since it uses less digits than its factorization.

1145652815520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17650 (or 17630 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 1145652815520 in words is "one trillion, one hundred forty-five billion, six hundred fifty-two million, eight hundred fifteen thousand, five hundred twenty".