56458090450944 has 3328 divisors, whose sum is σ = 224537636700160. Its totient is φ = 13621820129280.

The previous prime is 56458090450933. The next prime is 56458090450999. The reversal of 56458090450944 is 44905409085465.

56458090450944 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 8 + 0 + 90 + 450 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-2 number, since 2×56458090450944² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 773398499292 + ... + 773398499364.

Almost surely, 2^{56458090450944} is an apocalyptic number.

56458090450944 is a gapful number since it is divisible by the number (54) 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 56458090450944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112268818350080).

56458090450944 is an abundant number, since it is smaller than the sum of its proper divisors (168079546249216).

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

56458090450944 is a wasteful number, since it uses less digits than its factorization.

56458090450944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 56458090450944 in words is "fifty-six trillion, four hundred fifty-eight billion, ninety million, four hundred fifty thousand, nine hundred forty-four".