88161628464 has 240 divisors, whose sum is σ = 304373352192. Its totient is φ = 23197404672.

The previous prime is 88161628439. The next prime is 88161628483. The reversal of 88161628464 is 46482616188.

It is a happy number.

88161628464 is a `hidden beast` number, since 8 + 8 + 1 + 6 + 1 + 628 + 4 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 88161628464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5797479 + ... + 5812665.

Almost surely, 2^88161628464 is an apocalyptic number.

88161628464 is a gapful number since it is divisible by the number (84) 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 88161628464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152186676096).

88161628464 is an abundant number, since it is smaller than the sum of its proper divisors (216211723728).

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

88161628464 is a wasteful number, since it uses less digits than its factorization.

88161628464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15664 (or 15655 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 88161628464 in words is "eighty-eight billion, one hundred sixty-one million, six hundred twenty-eight thousand, four hundred sixty-four".