64118562816 has 448 divisors, whose sum is σ = 220237848576. Its totient is φ = 16102195200.

The previous prime is 64118562811. The next prime is 64118562881. The reversal of 64118562816 is 61826581146.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×64118562816² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (64118562811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58662366 + ... + 58663458.

Almost surely, 2^64118562816 is an apocalyptic number.

64118562816 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 64118562816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110118924288).

64118562816 is an abundant number, since it is smaller than the sum of its proper divisors (156119285760).

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

64118562816 is a wasteful number, since it uses less digits than its factorization.

64118562816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1147 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The spelling of 64118562816 in words is "sixty-four billion, one hundred eighteen million, five hundred sixty-two thousand, eight hundred sixteen".