4563901988352 has 960 divisors, whose sum is σ = 16635555256320. Its totient is φ = 1220090978304.

The previous prime is 4563901988279. The next prime is 4563901988369. The reversal of 4563901988352 is 2538891093654.

4563901988352 is a `hidden beast` number, since 4 + 5 + 6 + 3 + 90 + 198 + 8 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4563901988352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1373426563 + ... + 1373429885.

It is an arithmetic number, because the mean of its divisors is an integer number (17328703392).

Almost surely, 2^{4563901988352} is an apocalyptic number.

4563901988352 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 4563901988352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317777628160).

4563901988352 is an abundant number, since it is smaller than the sum of its proper divisors (12071653267968).

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

4563901988352 is an equidigital number, since it uses as much as digits as its factorization.

4563901988352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 4563901988352 in words is "four trillion, five hundred sixty-three billion, nine hundred one million, nine hundred eighty-eight thousand, three hundred fifty-two".