1075817614464 has 160 divisors (see below), whose sum is σ = 3214907968140. Its totient is φ = 357117050880.

The previous prime is 1075817614463. The next prime is 1075817614489. The reversal of 1075817614464 is 4644167185701.

It is a happy number.

1075817614464 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 8 + 17 + 614 + 4 + 6 + 4 = 666.

1075817614464 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 2 ways, for example, as 1069139456064 + 6678158400 = 1033992^2 + 81720^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1075817614464.

It is not an unprimeable number, because it can be changed into a prime (1075817614463) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2283412 + ... + 2713964.

Almost surely, 2^{1075817614464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075817614464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607453984070).

1075817614464 is an abundant number, since it is smaller than the sum of its proper divisors (2139090353676).

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

1075817614464 is an equidigital number, since it uses as much as digits as its factorization.

1075817614464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430820 (or 430799 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1075817614464 in words is "one trillion, seventy-five billion, eight hundred seventeen million, six hundred fourteen thousand, four hundred sixty-four".