1045977588432 has 60 divisors (see below), whose sum is σ = 3345468004320. Its totient is φ = 298850739264.

The previous prime is 1045977588407. The next prime is 1045977588433. The reversal of 1045977588432 is 2348857795401.

1045977588432 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 9 + 7 + 7 + 588 + 43 + 2 = 666.

1045977588432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1045977588432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045977588433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 518837082 + ... + 518839097.

It is an arithmetic number, because the mean of its divisors is an integer number (55757800072).

Almost surely, 2^{1045977588432} is an apocalyptic number.

1045977588432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1045977588432 is an abundant number, since it is smaller than the sum of its proper divisors (2299490415888).

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

1045977588432 is a wasteful number, since it uses less digits than its factorization.

1045977588432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037676200 (or 1037676191 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 1045977588432 in words is "one trillion, forty-five billion, nine hundred seventy-seven million, five hundred eighty-eight thousand, four hundred thirty-two".