20812364014464 has 768 divisors, whose sum is σ = 68441012640000. Its totient is φ = 6221090304000.

The previous prime is 20812364014423. The next prime is 20812364014499. The reversal of 20812364014464 is 46441046321802.

It is a happy number.

20812364014464 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 236 + 401 + 4 + 4 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9915370087 + ... + 9915372185.

It is an arithmetic number, because the mean of its divisors is an integer number (89115901875).

Almost surely, 2^{20812364014464} is an apocalyptic number.

20812364014464 is a gapful number since it is divisible by the number (24) 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 20812364014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34220506320000).

20812364014464 is an abundant number, since it is smaller than the sum of its proper divisors (47628648625536).

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

20812364014464 is a wasteful number, since it uses less digits than its factorization.

20812364014464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 20812364014464 in words is "twenty trillion, eight hundred twelve billion, three hundred sixty-four million, fourteen thousand, four hundred sixty-four".