88248465900 has 432 divisors, whose sum is σ = 347400681600. Its totient is φ = 19108897920.

The previous prime is 88248465817. The next prime is 88248465911. The reversal of 88248465900 is 956484288.

88248465900 is a `hidden beast` number, since 8 + 8 + 2 + 4 + 8 + 46 + 590 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2496147 + ... + 2531253.

Almost surely, 2^88248465900 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 88248465900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173700340800).

88248465900 is an abundant number, since it is smaller than the sum of its proper divisors (259152215700).

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

88248465900 is a wasteful number, since it uses less digits than its factorization.

88248465900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35163 (or 35143 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 88248465900 in words is "eighty-eight billion, two hundred forty-eight million, four hundred sixty-five thousand, nine hundred".