31161297277656 has 1152 divisors, whose sum is σ = 110752902374400. Its totient is φ = 7734315663360.

The previous prime is 31161297277639. The next prime is 31161297277681. The reversal of 31161297277656 is 65677279216113.

31161297277656 is a `hidden beast` number, since 3 + 1 + 1 + 612 + 9 + 7 + 2 + 7 + 7 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 31161297277593 and 31161297277602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54573199851 + ... + 54573200421.

It is an arithmetic number, because the mean of its divisors is an integer number (96139672200).

Almost surely, 2^{31161297277656} is an apocalyptic number.

31161297277656 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 31161297277656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55376451187200).

31161297277656 is an abundant number, since it is smaller than the sum of its proper divisors (79591605096744).

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

31161297277656 is a wasteful number, since it uses less digits than its factorization.

31161297277656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1021 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The spelling of 31161297277656 in words is "thirty-one trillion, one hundred sixty-one billion, two hundred ninety-seven million, two hundred seventy-seven thousand, six hundred fifty-six".