10045285758592 has 48 divisors (see below), whose sum is σ = 23279373181170. Its totient is φ = 4305122465280.

The previous prime is 10045285758587. The next prime is 10045285758593. The reversal of 10045285758592 is 29585758254001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5385110101056 + 4660175657536 = 2320584^2 + 2158744^2 .

It is a super-3 number, since 3×10045285758592³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10045285758592.

It is not an unprimeable number, because it can be changed into a prime (10045285758593) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 800797759 + ... + 800810302.

Almost surely, 2^{10045285758592} is an apocalyptic number.

It is an amenable number.

10045285758592 is an abundant number, since it is smaller than the sum of its proper divisors (13234087422578).

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

10045285758592 is an equidigital number, since it uses as much as digits as its factorization.

10045285758592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601608089 (or 1601608070 counting only the distinct ones).

The product of its (nonzero) digits is 40320000, while the sum is 61.

The spelling of 10045285758592 in words is "ten trillion, forty-five billion, two hundred eighty-five million, seven hundred fifty-eight thousand, five hundred ninety-two".