4636885959104 has 336 divisors, whose sum is σ = 11029525718400. Its totient is φ = 1927915831296.

The previous prime is 4636885959089. The next prime is 4636885959133. The reversal of 4636885959104 is 4019595886364.

It is a super-2 number, since 2×4636885959104² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3772892762 + ... + 3772893990.

It is an arithmetic number, because the mean of its divisors is an integer number (32825969400).

Almost surely, 2^{4636885959104} 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 4636885959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514762859200).

4636885959104 is an abundant number, since it is smaller than the sum of its proper divisors (6392639759296).

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

4636885959104 is a wasteful number, since it uses less digits than its factorization.

4636885959104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 68.

The spelling of 4636885959104 in words is "four trillion, six hundred thirty-six billion, eight hundred eighty-five million, nine hundred fifty-nine thousand, one hundred four".