4902263208864 has 576 divisors, whose sum is σ = 16808568940800. Its totient is φ = 1385911296000.

The previous prime is 4902263208859. The next prime is 4902263208889. The reversal of 4902263208864 is 4688023622094.

4902263208864 is a `hidden beast` number, since 4 + 90 + 226 + 320 + 8 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4902263208864.

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, 1796357452 + ... + 1796360180.

It is an arithmetic number, because the mean of its divisors is an integer number (29181543300).

Almost surely, 2^{4902263208864} 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 4902263208864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8404284470400).

4902263208864 is an abundant number, since it is smaller than the sum of its proper divisors (11906305731936).

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

4902263208864 is a wasteful number, since it uses less digits than its factorization.

4902263208864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 4902263208864 in words is "four trillion, nine hundred two billion, two hundred sixty-three million, two hundred eight thousand, eight hundred sixty-four".