31463137045080 has 960 divisors, whose sum is σ = 124074387360000. Its totient is φ = 7100363888640.

The previous prime is 31463137045079. The next prime is 31463137045139. The reversal of 31463137045080 is 8054073136413.

31463137045080 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 3 + 137 + 0 + 4 + 508 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 471331546 + ... + 471398294.

It is an arithmetic number, because the mean of its divisors is an integer number (129244153500).

Almost surely, 2^{31463137045080} is an apocalyptic number.

31463137045080 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 31463137045080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62037193680000).

31463137045080 is an abundant number, since it is smaller than the sum of its proper divisors (92611250314920).

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

31463137045080 is a wasteful number, since it uses less digits than its factorization.

31463137045080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66854 (or 66822 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 31463137045080 in words is "thirty-one trillion, four hundred sixty-three billion, one hundred thirty-seven million, forty-five thousand, eighty".