31196284116480 has 2400 divisors, whose sum is σ = 133152287770656. Its totient is φ = 6958823768064.

The previous prime is 31196284116443. The next prime is 31196284116497. The reversal of 31196284116480 is 8461148269113.

31196284116480 is a `hidden beast` number, since 3 + 1 + 1 + 9 + 628 + 4 + 1 + 1 + 6 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×31196284116480² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 101616560487 + ... + 101616560793.

Almost surely, 2^{31196284116480} is an apocalyptic number.

31196284116480 is a gapful number since it is divisible by the number (30) 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 31196284116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66576143885328).

31196284116480 is an abundant number, since it is smaller than the sum of its proper divisors (101956003654176).

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

31196284116480 is a wasteful number, since it uses less digits than its factorization.

31196284116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 31196284116480 in words is "thirty-one trillion, one hundred ninety-six billion, two hundred eighty-four million, one hundred sixteen thousand, four hundred eighty".