2162315656512 has 896 divisors, whose sum is σ = 7370912563200. Its totient is φ = 615523276800.

The previous prime is 2162315656499. The next prime is 2162315656517. The reversal of 2162315656512 is 2156565132612.

2162315656512 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 31 + 56 + 56 + 512 = 666.

It is a super-2 number, since 2×2162315656512² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162315656517) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4514228689 + ... + 4514229167.

Almost surely, 2^{2162315656512} is an apocalyptic number.

2162315656512 is a gapful number since it is divisible by the number (22) 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 2162315656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685456281600).

2162315656512 is an abundant number, since it is smaller than the sum of its proper divisors (5208596906688).

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

2162315656512 is a wasteful number, since it uses less digits than its factorization.

2162315656512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 736 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 2162315656512 in words is "two trillion, one hundred sixty-two billion, three hundred fifteen million, six hundred fifty-six thousand, five hundred twelve".