4806408134592 has 392 divisors, whose sum is σ = 14481367625472. Its totient is φ = 1581946329600.

The previous prime is 4806408134581. The next prime is 4806408134623. The reversal of 4806408134592 is 2954318046084.

4806408134592 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 40 + 8 + 1 + 3 + 4 + 592 = 666.

It is a super-3 number, since 3×4806408134592³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1289616633 + ... + 1289620359.

Almost surely, 2^{4806408134592} 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 4806408134592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7240683812736).

4806408134592 is an abundant number, since it is smaller than the sum of its proper divisors (9674959490880).

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

4806408134592 is a wasteful number, since it uses less digits than its factorization.

4806408134592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4806408134592 in words is "four trillion, eight hundred six billion, four hundred eight million, one hundred thirty-four thousand, five hundred ninety-two".