31264034123616 has 192 divisors, whose sum is σ = 94475082240000. Its totient is φ = 8867728982016.

The previous prime is 31264034123579. The next prime is 31264034123657. The reversal of 31264034123616 is 61632143046213.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61872760 + ... + 62376008.

It is an arithmetic number, because the mean of its divisors is an integer number (492057720000).

Almost surely, 2^{31264034123616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31264034123616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47237541120000).

31264034123616 is an abundant number, since it is smaller than the sum of its proper divisors (63211048116384).

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

31264034123616 is a wasteful number, since it uses less digits than its factorization.

31264034123616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503941 (or 503933 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

Adding to 31264034123616 its reverse (61632143046213), we get a palindrome (92896177169829).

The spelling of 31264034123616 in words is "thirty-one trillion, two hundred sixty-four billion, thirty-four million, one hundred twenty-three thousand, six hundred sixteen".