54456033456 has 320 divisors, whose sum is σ = 184356057600. Its totient is φ = 15209856000.

The previous prime is 54456033451. The next prime is 54456033481. The reversal of 54456033456 is 65433065445.

54456033456 is a `hidden beast` number, since 5 + 4 + 4 + 5 + 603 + 34 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (54456033451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3332506 + ... + 3348806.

It is an arithmetic number, because the mean of its divisors is an integer number (576112680).

Almost surely, 2^54456033456 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 54456033456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92178028800).

54456033456 is an abundant number, since it is smaller than the sum of its proper divisors (129900024144).

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

54456033456 is a wasteful number, since it uses less digits than its factorization.

54456033456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16385 (or 16373 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 54456033456 in words is "fifty-four billion, four hundred fifty-six million, thirty-three thousand, four hundred fifty-six".