88349773824 has 624 divisors, whose sum is σ = 299583531520. Its totient is φ = 24843386880.

The previous prime is 88349773817. The next prime is 88349773861. The reversal of 88349773824 is 42837794388.

It is a tau number, because it is divible by the number of its divisors (624).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282267492 + ... + 282267804.

Almost surely, 2^88349773824 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 88349773824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149791765760).

88349773824 is an abundant number, since it is smaller than the sum of its proper divisors (211233757696).

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

88349773824 is a wasteful number, since it uses less digits than its factorization.

88349773824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 381 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 88349773824 in words is "eighty-eight billion, three hundred forty-nine million, seven hundred seventy-three thousand, eight hundred twenty-four".