88284262416 has 160 divisors (see below), whose sum is σ = 272269240320. Its totient is φ = 24101839872.

The previous prime is 88284262369. The next prime is 88284262421. The reversal of 88284262416 is 61426248288.

It is a super-2 number, since 2×88284262416² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7977495 + ... + 7988553.

It is an arithmetic number, because the mean of its divisors is an integer number (1701682752).

Almost surely, 2^88284262416 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 88284262416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136134620160).

88284262416 is an abundant number, since it is smaller than the sum of its proper divisors (183984977904).

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

88284262416 is a wasteful number, since it uses less digits than its factorization.

88284262416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12133 (or 12127 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The spelling of 88284262416 in words is "eighty-eight billion, two hundred eighty-four million, two hundred sixty-two thousand, four hundred sixteen".