31018491689472 has 1280 divisors, whose sum is σ = 112044988661760. Its totient is φ = 8285641113600.

The previous prime is 31018491689467. The next prime is 31018491689533. The reversal of 31018491689472 is 27498619481013.

31018491689472 is a `hidden beast` number, since 3 + 1 + 0 + 1 + 84 + 9 + 1 + 6 + 89 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 13160156518 + ... + 13160158874.

It is an arithmetic number, because the mean of its divisors is an integer number (87535147392).

Almost surely, 2^{31018491689472} is an apocalyptic number.

31018491689472 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 31018491689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56022494330880).

31018491689472 is an abundant number, since it is smaller than the sum of its proper divisors (81026496972288).

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

31018491689472 is a wasteful number, since it uses less digits than its factorization.

31018491689472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 31018491689472 in words is "thirty-one trillion, eighteen billion, four hundred ninety-one million, six hundred eighty-nine thousand, four hundred seventy-two".