31390676534016 has 576 divisors, whose sum is σ = 95209550087680. Its totient is φ = 10198628352000.

The previous prime is 31390676533999. The next prime is 31390676534023. The reversal of 31390676534016 is 61043567609313.

31390676534016 is a `hidden beast` number, since 3 + 1 + 3 + 90 + 6 + 7 + 6 + 534 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45427896231 + ... + 45427896921.

Almost surely, 2^{31390676534016} is an apocalyptic number.

31390676534016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31390676534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47604775043840).

31390676534016 is an abundant number, since it is smaller than the sum of its proper divisors (63818873553664).

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

31390676534016 is a wasteful number, since it uses less digits than its factorization.

31390676534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 31390676534016 in words is "thirty-one trillion, three hundred ninety billion, six hundred seventy-six million, five hundred thirty-four thousand, sixteen".