31919473039104 has 1008 divisors, whose sum is σ = 115666628116480. Its totient is φ = 8583778344960.

The previous prime is 31919473039093. The next prime is 31919473039147. The reversal of 31919473039104 is 40193037491913.

31919473039104 is a `hidden beast` number, since 3 + 191 + 9 + 47 + 303 + 9 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3896891649 + ... + 3896899839.

Almost surely, 2^{31919473039104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31919473039104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57833314058240).

31919473039104 is an abundant number, since it is smaller than the sum of its proper divisors (83747155077376).

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

31919473039104 is an equidigital number, since it uses as much as digits as its factorization.

31919473039104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8408 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 31919473039104 in words is "thirty-one trillion, nine hundred nineteen billion, four hundred seventy-three million, thirty-nine thousand, one hundred four".