88601429664 has 192 divisors, whose sum is σ = 287234398080. Its totient is φ = 26342184960.

The previous prime is 88601429659. The next prime is 88601429669. The reversal of 88601429664 is 46692410688.

88601429664 is a `hidden beast` number, since 8 + 8 + 601 + 4 + 29 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (88601429659) and next prime (88601429669).

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

It is a self number, because there is not a number n which added to its sum of digits gives 88601429664.

It is not an unprimeable number, because it can be changed into a prime (88601429669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415764 + ... + 591660.

It is an arithmetic number, because the mean of its divisors is an integer number (1496012490).

Almost surely, 2^88601429664 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 88601429664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143617199040).

88601429664 is an abundant number, since it is smaller than the sum of its proper divisors (198632968416).

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

88601429664 is a wasteful number, since it uses less digits than its factorization.

88601429664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175980 (or 175966 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 88601429664 in words is "eighty-eight billion, six hundred one million, four hundred twenty-nine thousand, six hundred sixty-four".