31851618196968 has 192 divisors, whose sum is σ = 89238895100160. Its totient is φ = 10255547179008.

The previous prime is 31851618196943. The next prime is 31851618196969. The reversal of 31851618196968 is 86969181615813.

31851618196968 is a `hidden beast` number, since 3 + 1 + 8 + 516 + 1 + 8 + 19 + 6 + 96 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31851618196896 and 31851618196905.

It is not an unprimeable number, because it can be changed into a prime (31851618196969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250328421 + ... + 250455627.

It is an arithmetic number, because the mean of its divisors is an integer number (464785911980).

Almost surely, 2^{31851618196968} 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 31851618196968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44619447550080).

31851618196968 is an abundant number, since it is smaller than the sum of its proper divisors (57387276903192).

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

31851618196968 is a wasteful number, since it uses less digits than its factorization.

31851618196968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127936 (or 127929 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 72.

The spelling of 31851618196968 in words is "thirty-one trillion, eight hundred fifty-one billion, six hundred eighteen million, one hundred ninety-six thousand, nine hundred sixty-eight".