88442746506 has 64 divisors (see below), whose sum is σ = 199798444800. Its totient is φ = 28994112000.

The previous prime is 88442746501. The next prime is 88442746507. The reversal of 88442746506 is 60564724488.

It is a happy number.

88442746506 is a `hidden beast` number, since 88 + 442 + 74 + 6 + 50 + 6 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (88442746501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1539906 + ... + 1596306.

It is an arithmetic number, because the mean of its divisors is an integer number (3121850700).

Almost surely, 2^88442746506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88442746506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99899222400).

88442746506 is an abundant number, since it is smaller than the sum of its proper divisors (111355698294).

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

88442746506 is a wasteful number, since it uses less digits than its factorization.

88442746506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56892 (or 56886 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 88442746506 in words is "eighty-eight billion, four hundred forty-two million, seven hundred forty-six thousand, five hundred six".