31284960086016 has 3456 divisors, whose sum is σ = 125894863785600. Its totient is φ = 7678517575680.

The previous prime is 31284960085963. The next prime is 31284960086291. The reversal of 31284960086016 is 61068006948213.

31284960086016 is a `hidden beast` number, since 3 + 1 + 28 + 4 + 9 + 6 + 0 + 0 + 8 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×31284960086016² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 376927229911 + ... + 376927229993.

It is an arithmetic number, because the mean of its divisors is an integer number (36427911975).

Almost surely, 2^{31284960086016} is an apocalyptic number.

31284960086016 is a gapful number since it is divisible by the number (36) 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 31284960086016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62947431892800).

31284960086016 is an abundant number, since it is smaller than the sum of its proper divisors (94609903699584).

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

31284960086016 is a wasteful number, since it uses less digits than its factorization.

31284960086016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 31284960086016 in words is "thirty-one trillion, two hundred eighty-four billion, nine hundred sixty million, eighty-six thousand, sixteen".