56414075454 has 256 divisors, whose sum is σ = 150698880000. Its totient is φ = 15454333440.

The previous prime is 56414075441. The next prime is 56414075477. The reversal of 56414075454 is 45457041465.

56414075454 is a `hidden beast` number, since 5 + 64 + 1 + 40 + 7 + 545 + 4 = 666.

56414075454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×56414075454⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22130572 + ... + 22133120.

It is an arithmetic number, because the mean of its divisors is an integer number (588667500).

Almost surely, 2^56414075454 is an apocalyptic number.

56414075454 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56414075454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75349440000).

56414075454 is an abundant number, since it is smaller than the sum of its proper divisors (94284804546).

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

56414075454 is a wasteful number, since it uses less digits than its factorization.

56414075454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 56414075454 in words is "fifty-six billion, four hundred fourteen million, seventy-five thousand, four hundred fifty-four".