31097916102848 has 224 divisors, whose sum is σ = 72099196416000. Its totient is φ = 13032093634560.

The previous prime is 31097916102817. The next prime is 31097916102899. The reversal of 31097916102848 is 84820161979013.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×31097916102848² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12002282033 + ... + 12002284623.

Almost surely, 2^{31097916102848} 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 31097916102848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36049598208000).

31097916102848 is an abundant number, since it is smaller than the sum of its proper divisors (41001280313152).

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

31097916102848 is a wasteful number, since it uses less digits than its factorization.

31097916102848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 59.

The spelling of 31097916102848 in words is "thirty-one trillion, ninety-seven billion, nine hundred sixteen million, one hundred two thousand, eight hundred forty-eight".