31468245838848 has 1320 divisors, whose sum is σ = 118035941299584. Its totient is φ = 8277147648000.

The previous prime is 31468245838811. The next prime is 31468245838873. The reversal of 31468245838848 is 84883854286413.

31468245838848 is a `hidden beast` number, since 3 + 1 + 4 + 68 + 2 + 458 + 38 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31754031633 + ... + 31754032623.

Almost surely, 2^{31468245838848} 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 31468245838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59017970649792).

31468245838848 is an abundant number, since it is smaller than the sum of its proper divisors (86567695460736).

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

31468245838848 is a wasteful number, since it uses less digits than its factorization.

31468245838848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1617 counting only the distinct ones).

The product of its digits is 1132462080, while the sum is 72.

The spelling of 31468245838848 in words is "thirty-one trillion, four hundred sixty-eight billion, two hundred forty-five million, eight hundred thirty-eight thousand, eight hundred forty-eight".