88481612001024 has 432 divisors, whose sum is σ = 280733994803808. Its totient is φ = 26800435200000.

The previous prime is 88481612001023. The next prime is 88481612001053. The reversal of 88481612001024 is 42010021618488.

88481612001024 is a `hidden beast` number, since 8 + 8 + 4 + 8 + 1 + 612 + 0 + 0 + 1 + 0 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88481612001023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8589608674 + ... + 8589618974.

It is an arithmetic number, because the mean of its divisors is an integer number (649847210194).

Almost surely, 2^{88481612001024} 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 88481612001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140366997401904).

88481612001024 is an abundant number, since it is smaller than the sum of its proper divisors (192252382802784).

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

88481612001024 is a wasteful number, since it uses less digits than its factorization.

88481612001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13157 (or 13118 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 88481612001024 in words is "eighty-eight trillion, four hundred eighty-one billion, six hundred twelve million, one thousand, twenty-four".