88464361864032 has 1536 divisors, whose sum is σ = 345052826173440. Its totient is φ = 21369410979840.

The previous prime is 88464361863991. The next prime is 88464361864103. The reversal of 88464361864032 is 23046816346488.

88464361864032 is a `hidden beast` number, since 8 + 8 + 4 + 6 + 4 + 3 + 618 + 6 + 4 + 0 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14935732623 + ... + 14935738545.

It is an arithmetic number, because the mean of its divisors is an integer number (224643767040).

Almost surely, 2^{88464361864032} 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 88464361864032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172526413086720).

88464361864032 is an abundant number, since it is smaller than the sum of its proper divisors (256588464309408).

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

88464361864032 is a wasteful number, since it uses less digits than its factorization.

88464361864032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 88464361864032 in words is "eighty-eight trillion, four hundred sixty-four billion, three hundred sixty-one million, eight hundred sixty-four thousand, thirty-two".