20451904114656 has 192 divisors, whose sum is σ = 61585342543872. Its totient is φ = 5821564096512.

The previous prime is 20451904114601. The next prime is 20451904114667. The reversal of 20451904114656 is 65641140915402.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 245842540 + ... + 245925716.

It is an arithmetic number, because the mean of its divisors is an integer number (320756992416).

Almost surely, 2^{20451904114656} 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 20451904114656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30792671271936).

20451904114656 is an abundant number, since it is smaller than the sum of its proper divisors (41133438429216).

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

20451904114656 is a wasteful number, since it uses less digits than its factorization.

20451904114656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84561 (or 84553 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 20451904114656 in words is "twenty trillion, four hundred fifty-one billion, nine hundred four million, one hundred fourteen thousand, six hundred fifty-six".