64136118816 has 720 divisors, whose sum is σ = 247775552640. Its totient is φ = 16074132480.

The previous prime is 64136118803. The next prime is 64136118817. The reversal of 64136118816 is 61881163146.

64136118816 is a `hidden beast` number, since 6 + 4 + 13 + 611 + 8 + 8 + 16 = 666.

64136118816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64136118816² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (64136118817) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40514761 + ... + 40516343.

It is an arithmetic number, because the mean of its divisors is an integer number (344132712).

Almost surely, 2^64136118816 is an apocalyptic number.

64136118816 is a gapful number since it is divisible by the number (66) 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 64136118816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123887776320).

64136118816 is an abundant number, since it is smaller than the sum of its proper divisors (183639433824).

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

64136118816 is a wasteful number, since it uses less digits than its factorization.

64136118816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1635 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 64136118816 in words is "sixty-four billion, one hundred thirty-six million, one hundred eighteen thousand, eight hundred sixteen".