88882134048 has 144 divisors (see below), whose sum is σ = 259112291256. Its totient is φ = 28883681280.

The previous prime is 88882134001. The next prime is 88882134067. The reversal of 88882134048 is 84043128888.

It can be written as a sum of positive squares in 4 ways, for example, as 56174688144 + 32707445904 = 237012^2 + 180852^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 88882133985 and 88882134003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31372440 + ... + 31375272.

Almost surely, 2^88882134048 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 88882134048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129556145628).

88882134048 is an abundant number, since it is smaller than the sum of its proper divisors (170230157208).

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

88882134048 is a wasteful number, since it uses less digits than its factorization.

88882134048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 88882134048 in words is "eighty-eight billion, eight hundred eighty-two million, one hundred thirty-four thousand, forty-eight".