4964800590162 has 48 divisors (see below), whose sum is σ = 12294070468992. Its totient is φ = 1418482316160.

The previous prime is 4964800590143. The next prime is 4964800590181. The reversal of 4964800590162 is 2610950084694.

4964800590162 is a `hidden beast` number, since 4 + 9 + 6 + 48 + 0 + 0 + 590 + 1 + 6 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4964800590143) and next prime (4964800590181).

It is a junction number, because it is equal to n+sod(n) for n = 4964800590099 and 4964800590108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5444362 + ... + 6290522.

It is an arithmetic number, because the mean of its divisors is an integer number (256126468104).

Almost surely, 2^{4964800590162} is an apocalyptic number.

4964800590162 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4964800590162 is an abundant number, since it is smaller than the sum of its proper divisors (7329269878830).

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

4964800590162 is a wasteful number, since it uses less digits than its factorization.

4964800590162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892743 (or 892740 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 4964800590162 in words is "four trillion, nine hundred sixty-four billion, eight hundred million, five hundred ninety thousand, one hundred sixty-two".