88441733952 has 224 divisors, whose sum is σ = 305458124160. Its totient is φ = 24738877440.

The previous prime is 88441733911. The next prime is 88441733977. The reversal of 88441733952 is 25933714488.

It is a happy number.

88441733952 is a `hidden beast` number, since 8 + 84 + 4 + 173 + 395 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 68148 + ... + 426060.

It is an arithmetic number, because the mean of its divisors is an integer number (1363652340).

Almost surely, 2^88441733952 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 88441733952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152729062080).

88441733952 is an abundant number, since it is smaller than the sum of its proper divisors (217016390208).

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

88441733952 is a wasteful number, since it uses less digits than its factorization.

88441733952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357958 (or 357942 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 88441733952 in words is "eighty-eight billion, four hundred forty-one million, seven hundred thirty-three thousand, nine hundred fifty-two".