10145961792 has 42 divisors (see below), whose sum is σ = 29081569218. Its totient is φ = 3381987072.

The previous prime is 10145961751. The next prime is 10145961857. The reversal of 10145961792 is 29716954101.

10145961792 is a `hidden beast` number, since 10 + 14 + 5 + 9 + 617 + 9 + 2 = 666.

10145961792 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 only one way, i.e., 9939292416 + 206669376 = 99696^2 + 14376^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8806683 + ... + 8807834.

Almost surely, 2^10145961792 is an apocalyptic number.

10145961792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10145961792 is an abundant number, since it is smaller than the sum of its proper divisors (18935607426).

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

10145961792 is a wasteful number, since it uses less digits than its factorization.

10145961792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17614535 (or 17614522 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 10145961792 in words is "ten billion, one hundred forty-five million, nine hundred sixty-one thousand, seven hundred ninety-two".