4868963675136 has 1584 divisors, whose sum is σ = 17124370099200. Its totient is φ = 1377772830720.

The previous prime is 4868963675119. The next prime is 4868963675153. The reversal of 4868963675136 is 6315763698684.

4868963675136 is a `hidden beast` number, since 48 + 6 + 8 + 9 + 6 + 3 + 67 + 513 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4868963675119) and next prime (4868963675153).

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54707456980 + ... + 54707457068.

Almost surely, 2^{4868963675136} is an apocalyptic number.

4868963675136 is a gapful number since it is divisible by the number (46) 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 4868963675136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8562185049600).

4868963675136 is an abundant number, since it is smaller than the sum of its proper divisors (12255406424064).

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

4868963675136 is a wasteful number, since it uses less digits than its factorization.

4868963675136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 207 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 4868963675136 in words is "four trillion, eight hundred sixty-eight billion, nine hundred sixty-three million, six hundred seventy-five thousand, one hundred thirty-six".