31362256042464 has 192 divisors, whose sum is σ = 83639079014400. Its totient is φ = 10288233725952.

The previous prime is 31362256042441. The next prime is 31362256042519. The reversal of 31362256042464 is 46424065226313.

31362256042464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31362256042464² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6086210512 + ... + 6086215664.

It is an arithmetic number, because the mean of its divisors is an integer number (435620203200).

Almost surely, 2^{31362256042464} 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 31362256042464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41819539507200).

31362256042464 is an abundant number, since it is smaller than the sum of its proper divisors (52276822971936).

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

31362256042464 is a wasteful number, since it uses less digits than its factorization.

31362256042464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7697 (or 7689 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 31362256042464 in words is "thirty-one trillion, three hundred sixty-two billion, two hundred fifty-six million, forty-two thousand, four hundred sixty-four".