4964162250600 has 288 divisors, whose sum is σ = 20055714120000. Its totient is φ = 1074946360320.

The previous prime is 4964162250587. The next prime is 4964162250667. The reversal of 4964162250600 is 60522614694.

4964162250600 is a `hidden beast` number, since 4 + 9 + 6 + 4 + 16 + 2 + 25 + 0 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10128525 + ... + 10607324.

It is an arithmetic number, because the mean of its divisors is an integer number (69637896250).

Almost surely, 2^{4964162250600} is an apocalyptic number.

4964162250600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4964162250600 is an abundant number, since it is smaller than the sum of its proper divisors (15091551869400).

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

4964162250600 is a wasteful number, since it uses less digits than its factorization.

4964162250600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20735897 (or 20735885 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4964162250600 in words is "four trillion, nine hundred sixty-four billion, one hundred sixty-two million, two hundred fifty thousand, six hundred".