51451431652164 has 96 divisors (see below), whose sum is σ = 128522132928000. Its totient is φ = 15971402382336.

The previous prime is 51451431652163. The next prime is 51451431652177. The reversal of 51451431652164 is 46125613415415.

51451431652164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (51451431652163) 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 31 ways as a sum of consecutive naturals, for example, 223228372 + ... + 223458740.

It is an arithmetic number, because the mean of its divisors is an integer number (1338772218000).

Almost surely, 2^{51451431652164} 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 51451431652164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64261066464000).

51451431652164 is an abundant number, since it is smaller than the sum of its proper divisors (77070701275836).

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

51451431652164 is a wasteful number, since it uses less digits than its factorization.

51451431652164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247057 (or 247055 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 48.

The spelling of 51451431652164 in words is "fifty-one trillion, four hundred fifty-one billion, four hundred thirty-one million, six hundred fifty-two thousand, one hundred sixty-four".