88672622310468 has 240 divisors, whose sum is σ = 265262666828544. Its totient is φ = 25302586533120.

The previous prime is 88672622310451. The next prime is 88672622310577. The reversal of 88672622310468 is 86401322627688.

88672622310468 is a `hidden beast` number, since 8 + 86 + 7 + 2 + 62 + 2 + 31 + 0 + 468 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7270029346 + ... + 7270041542.

Almost surely, 2^{88672622310468} 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 88672622310468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132631333414272).

88672622310468 is an abundant number, since it is smaller than the sum of its proper divisors (176590044518076).

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

88672622310468 is a wasteful number, since it uses less digits than its factorization.

88672622310468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16064 (or 16053 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 88672622310468 in words is "eighty-eight trillion, six hundred seventy-two billion, six hundred twenty-two million, three hundred ten thousand, four hundred sixty-eight".