4526718400512 has 864 divisors, whose sum is σ = 17033394268800. Its totient is φ = 1175661527040.

The previous prime is 4526718400493. The next prime is 4526718400517. The reversal of 4526718400512 is 2150048176254.

4526718400512 is a `hidden beast` number, since 4 + 5 + 26 + 71 + 8 + 40 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4526718400517) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 421516039 + ... + 421526777.

It is an arithmetic number, because the mean of its divisors is an integer number (19714576700).

Almost surely, 2^{4526718400512} is an apocalyptic number.

4526718400512 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 4526718400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8516697134400).

4526718400512 is an abundant number, since it is smaller than the sum of its proper divisors (12506675868288).

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

4526718400512 is a wasteful number, since it uses less digits than its factorization.

4526718400512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10805 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 4526718400512 in words is "four trillion, five hundred twenty-six billion, seven hundred eighteen million, four hundred thousand, five hundred twelve".