31296397521312 has 288 divisors, whose sum is σ = 111152305240704. Its totient is φ = 8114842828800.

The previous prime is 31296397521299. The next prime is 31296397521379. The reversal of 31296397521312 is 21312579369213.

31296397521312 is a `hidden beast` number, since 3 + 1 + 29 + 6 + 3 + 97 + 521 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11572612 + ... + 14018492.

It is an arithmetic number, because the mean of its divisors is an integer number (385945504308).

Almost surely, 2^{31296397521312} is an apocalyptic number.

31296397521312 is a gapful number since it is divisible by the number (32) 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 31296397521312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55576152620352).

31296397521312 is an abundant number, since it is smaller than the sum of its proper divisors (79855907719392).

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

31296397521312 is a wasteful number, since it uses less digits than its factorization.

31296397521312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446492 (or 2446481 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 31296397521312 in words is "thirty-one trillion, two hundred ninety-six billion, three hundred ninety-seven million, five hundred twenty-one thousand, three hundred twelve".