31218790946616 has 576 divisors, whose sum is σ = 112272622469280. Its totient is φ = 7740836167680.

The previous prime is 31218790946591. The next prime is 31218790946617. The reversal of 31218790946616 is 61664909781213.

31218790946616 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 8 + 7 + 9 + 0 + 9 + 4 + 6 + 616 = 666.

It is a super-2 number, since 2×31218790946616² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31218790946617) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 738343396 + ... + 738385676.

Almost surely, 2^{31218790946616} is an apocalyptic number.

31218790946616 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 31218790946616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56136311234640).

31218790946616 is an abundant number, since it is smaller than the sum of its proper divisors (81053831522664).

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

31218790946616 is a wasteful number, since it uses less digits than its factorization.

31218790946616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43284 (or 43270 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 31218790946616 in words is "thirty-one trillion, two hundred eighteen billion, seven hundred ninety million, nine hundred forty-six thousand, six hundred sixteen".