88464604900 has 135 divisors (see below), whose sum is σ = 224319118569. Its totient is φ = 30280753440.

The previous prime is 88464604883. The next prime is 88464604937. The reversal of 88464604900 is 940646488.

It is a happy number.

The square root of 88464604900 is 297430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31847257764 + 56617347136 = 178458^2 + 237944^2 .

It is a super-2 number, since 2×88464604900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 145740397 + ... + 145741003.

Almost surely, 2^88464604900 is an apocalyptic number.

88464604900 is the 297430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88464604900

88464604900 is an abundant number, since it is smaller than the sum of its proper divisors (135854513669).

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

88464604900 is an frugal number, since it uses more digits than its factorization.

88464604900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

Multiplying 88464604900 by its sum of digits (49), we get a square (4334765640100 = 2082010²).

88464604900 divided by its sum of digits (49) gives a square (1805400100 = 42490²).

The spelling of 88464604900 in words is "eighty-eight billion, four hundred sixty-four million, six hundred four thousand, nine hundred".