64117033215048 has 144 divisors (see below), whose sum is σ = 191132232624060. Its totient is φ = 19402895381760.

The previous prime is 64117033215047. The next prime is 64117033215049. The reversal of 64117033215048 is 84051233071146.

64117033215048 is a `hidden beast` number, since 6 + 4 + 117 + 0 + 3 + 3 + 21 + 504 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (64117033215047) and next prime (64117033215049).

It can be written as a sum of positive squares in 2 ways, for example, as 59123765883204 + 4993267331844 = 7689198^2 + 2234562^2 .

It is a super-2 number, since 2×64117033215048² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64117033214994 and 64117033215012.

It is not an unprimeable number, because it can be changed into a prime (64117033215047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1365690 + ... + 11406102.

Almost surely, 2^{64117033215048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64117033215048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95566116312030).

64117033215048 is an abundant number, since it is smaller than the sum of its proper divisors (127015199409012).

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

64117033215048 is a wasteful number, since it uses less digits than its factorization.

64117033215048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10041180 (or 10041162 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 64117033215048 in words is "sixty-four trillion, one hundred seventeen billion, thirty-three million, two hundred fifteen thousand, forty-eight".