88628455306944 has 252 divisors, whose sum is σ = 295722834334200. Its totient is φ = 25304432541696.

The previous prime is 88628455306883. The next prime is 88628455306957. The reversal of 88628455306944 is 44960355482688.

88628455306944 is a `hidden beast` number, since 8 + 8 + 6 + 2 + 8 + 4 + 553 + 0 + 69 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38653287 + ... + 40881945.

It is an arithmetic number, because the mean of its divisors is an integer number (1173503310850).

Almost surely, 2^{88628455306944} is an apocalyptic number.

88628455306944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88628455306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147861417167100).

88628455306944 is an abundant number, since it is smaller than the sum of its proper divisors (207094379027256).

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

88628455306944 is a wasteful number, since it uses less digits than its factorization.

88628455306944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230100 (or 2230080 counting only the distinct ones).

The product of its (nonzero) digits is 1592524800, while the sum is 72.

The spelling of 88628455306944 in words is "eighty-eight trillion, six hundred twenty-eight billion, four hundred fifty-five million, three hundred six thousand, nine hundred forty-four".