4564013523408 has 180 divisors, whose sum is σ = 13267894112928. Its totient is φ = 1520832801600.

The previous prime is 4564013523397. The next prime is 4564013523431. The reversal of 4564013523408 is 8043253104654.

4564013523408 is a `hidden beast` number, since 4 + 5 + 6 + 401 + 3 + 5 + 234 + 0 + 8 = 666.

It is a super-2 number, since 2×4564013523408² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449607133 + ... + 449617283.

Almost surely, 2^{4564013523408} is an apocalyptic number.

4564013523408 is a gapful number since it is divisible by the number (48) 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 4564013523408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6633947056464).

4564013523408 is an abundant number, since it is smaller than the sum of its proper divisors (8703880589520).

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

4564013523408 is an equidigital number, since it uses as much as digits as its factorization.

4564013523408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14466 (or 14439 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 4564013523408 in words is "four trillion, five hundred sixty-four billion, thirteen million, five hundred twenty-three thousand, four hundred eight".