32745438199872 has 42 divisors (see below), whose sum is σ = 93858886230798. Its totient is φ = 10915146066432.

The previous prime is 32745438199849. The next prime is 32745438199883. The reversal of 32745438199872 is 27899183454723.

32745438199872 is a `hidden beast` number, since 3 + 2 + 7 + 4 + 543 + 8 + 1 + 9 + 9 + 8 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32188647638016 + 556790561856 = 5673504^2 + 746184^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 32745438199872.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28424858973 + ... + 28424860124.

Almost surely, 2^{32745438199872} is an apocalyptic number.

32745438199872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32745438199872 is an abundant number, since it is smaller than the sum of its proper divisors (61113448030926).

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

32745438199872 is a wasteful number, since it uses less digits than its factorization.

32745438199872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56849719115 (or 56849719102 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 32745438199872 in words is "thirty-two trillion, seven hundred forty-five billion, four hundred thirty-eight million, one hundred ninety-nine thousand, eight hundred seventy-two".