88609845376512 has 600 divisors, whose sum is σ = 279988474258152. Its totient is φ = 27895958323200.

The previous prime is 88609845376499. The next prime is 88609845376517. The reversal of 88609845376512 is 21567354890688.

88609845376512 is a `hidden beast` number, since 8 + 8 + 6 + 0 + 9 + 84 + 537 + 6 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×88609845376512² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88609845376517) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4955521812 + ... + 4955539692.

It is a 1-persistent number, because it is pandigital, but 2⋅88609845376512 = 177219690753024 is not.

Almost surely, 2^{88609845376512} 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 88609845376512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139994237129076).

88609845376512 is an abundant number, since it is smaller than the sum of its proper divisors (191378628881640).

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

88609845376512 is a wasteful number, since it uses less digits than its factorization.

88609845376512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18280 (or 18236 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 88609845376512 in words is "eighty-eight trillion, six hundred nine billion, eight hundred forty-five million, three hundred seventy-six thousand, five hundred twelve".