4506057464832 has 880 divisors, whose sum is σ = 16817099219712. Its totient is φ = 1167559557120.

The previous prime is 4506057464801. The next prime is 4506057464837. The reversal of 4506057464832 is 2384647506054.

4506057464832 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 0 + 574 + 64 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4506057464837) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4362107388 + ... + 4362108420.

Almost surely, 2^{4506057464832} is an apocalyptic number.

4506057464832 is a gapful number since it is divisible by the number (42) 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 4506057464832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8408549609856).

4506057464832 is an abundant number, since it is smaller than the sum of its proper divisors (12311041754880).

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

4506057464832 is a wasteful number, since it uses less digits than its factorization.

4506057464832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 4506057464832 in words is "four trillion, five hundred six billion, fifty-seven million, four hundred sixty-four thousand, eight hundred thirty-two".