4884101314560 has 768 divisors, whose sum is σ = 18961278336000. Its totient is φ = 1185245429760.

The previous prime is 4884101314501. The next prime is 4884101314571. The reversal of 4884101314560 is 654131014884.

4884101314560 is a `hidden beast` number, since 4 + 8 + 8 + 410 + 131 + 45 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255181471 + ... + 255200609.

It is an arithmetic number, because the mean of its divisors is an integer number (24689164500).

Almost surely, 2^{4884101314560} is an apocalyptic number.

4884101314560 is a gapful number since it is divisible by the number (40) 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 4884101314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480639168000).

4884101314560 is an abundant number, since it is smaller than the sum of its proper divisors (14077177021440).

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

4884101314560 is a wasteful number, since it uses less digits than its factorization.

4884101314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19259 (or 19233 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 4884101314560 in words is "four trillion, eight hundred eighty-four billion, one hundred one million, three hundred fourteen thousand, five hundred sixty".