31688541144000 has 1792 divisors, whose sum is σ = 133639363952640. Its totient is φ = 7282217779200.

The previous prime is 31688541143981. The next prime is 31688541144053. The reversal of 31688541144000 is 44114588613.

31688541144000 is a `hidden beast` number, since 3 + 1 + 6 + 88 + 54 + 114 + 400 + 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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6062469387 + ... + 6062474613.

It is an arithmetic number, because the mean of its divisors is an integer number (74575537920).

Almost surely, 2^{31688541144000} is an apocalyptic number.

31688541144000 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 31688541144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66819681976320).

31688541144000 is an abundant number, since it is smaller than the sum of its proper divisors (101950822808640).

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

31688541144000 is a wasteful number, since it uses less digits than its factorization.

31688541144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 31688541144000 in words is "thirty-one trillion, six hundred eighty-eight billion, five hundred forty-one million, one hundred forty-four thousand".