88045906368 has 336 divisors, whose sum is σ = 294470937600. Its totient is φ = 23061749760.

The previous prime is 88045906357. The next prime is 88045906427. The reversal of 88045906368 is 86360954088.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5533368 + ... + 5549256.

It is an arithmetic number, because the mean of its divisors is an integer number (876401600).

Almost surely, 2^88045906368 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 88045906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147235468800).

88045906368 is an abundant number, since it is smaller than the sum of its proper divisors (206425031232).

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

88045906368 is a wasteful number, since it uses less digits than its factorization.

88045906368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15968 (or 15951 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

Subtracting from 88045906368 its product of nonzero digits (9953280), we obtain a palindrome (88035953088).

The spelling of 88045906368 in words is "eighty-eight billion, forty-five million, nine hundred six thousand, three hundred sixty-eight".