31123685376 has 720 divisors, whose sum is σ = 115968966400. Its totient is φ = 8058175488.

The previous prime is 31123685347. The next prime is 31123685387. The reversal of 31123685376 is 67358632113.

31123685376 is a `hidden beast` number, since 31 + 1 + 23 + 68 + 537 + 6 = 666.

It is a super-2 number, since 2×31123685376² (a number of 22 digits) contains 22 as substring.

Its product of digits (544320) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1353203701 + ... + 1353203723.

Almost surely, 2^31123685376 is an apocalyptic number.

31123685376 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 31123685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57984483200).

31123685376 is an abundant number, since it is smaller than the sum of its proper divisors (84845281024).

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

31123685376 is an equidigital number, since it uses as much as digits as its factorization.

31123685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 54 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 31123685376 in words is "thirty-one billion, one hundred twenty-three million, six hundred eighty-five thousand, three hundred seventy-six".