88345790208 has 720 divisors, whose sum is σ = 305811179520. Its totient is φ = 25136013312.

The previous prime is 88345790207. The next prime is 88345790243. The reversal of 88345790208 is 80209754388.

It is a happy number.

88345790208 is a `hidden beast` number, since 8 + 8 + 345 + 7 + 90 + 208 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88345790207) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 240724041 + ... + 240724407.

Almost surely, 2^88345790208 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 88345790208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152905589760).

88345790208 is an abundant number, since it is smaller than the sum of its proper divisors (217465389312).

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

88345790208 is a wasteful number, since it uses less digits than its factorization.

88345790208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 88345790208 in words is "eighty-eight billion, three hundred forty-five million, seven hundred ninety thousand, two hundred eight".