31438458432 has 42 divisors (see below), whose sum is σ = 90112666358. Its totient is φ = 10479485952.

The previous prime is 31438458421. The next prime is 31438458461. The reversal of 31438458432 is 23485483413.

31438458432 is a `hidden beast` number, since 3 + 1 + 4 + 38 + 4 + 584 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22148582976 + 9289875456 = 148824^2 + 96384^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 27289753 + ... + 27290904.

Almost surely, 2^31438458432 is an apocalyptic number.

31438458432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31438458432 is an abundant number, since it is smaller than the sum of its proper divisors (58674207926).

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

31438458432 is a wasteful number, since it uses less digits than its factorization.

31438458432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54580675 (or 54580662 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

It can be divided in two parts, 314384 and 58432, that added together give a triangular number (372816 = T₈₆₃).

The spelling of 31438458432 in words is "thirty-one billion, four hundred thirty-eight million, four hundred fifty-eight thousand, four hundred thirty-two".