88625621448 has 1024 divisors, whose sum is σ = 338688000000. Its totient is φ = 21251994624.

The previous prime is 88625621437. The next prime is 88625621489. The reversal of 88625621448 is 84412652688.

88625621448 is a `hidden beast` number, since 8 + 8 + 6 + 2 + 5 + 621 + 4 + 4 + 8 = 666.

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

Its product of digits (5898240) is a multiple of the sum of its prime divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 88625621394 and 88625621403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 530692261 + ... + 530692427.

It is an arithmetic number, because the mean of its divisors is an integer number (330750000).

Almost surely, 2^88625621448 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 88625621448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000000).

88625621448 is an abundant number, since it is smaller than the sum of its proper divisors (250062378552).

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

88625621448 is a wasteful number, since it uses less digits than its factorization.

88625621448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 88625621448 in words is "eighty-eight billion, six hundred twenty-five million, six hundred twenty-one thousand, four hundred forty-eight".