98746777600 has 135 divisors (see below), whose sum is σ = 245384297221. Its totient is φ = 39418265600.

The previous prime is 98746777589. The next prime is 98746777601. The reversal of 98746777600 is 677764789.

The square root of 98746777600 is 314240.

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., 35548839936 + 63197937664 = 188544^2 + 251392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98746777601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 201113355 + ... + 201113845.

Almost surely, 2^98746777600 is an apocalyptic number.

98746777600 is the 314240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98746777600

98746777600 is an abundant number, since it is smaller than the sum of its proper divisors (146637519621).

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

98746777600 is an frugal number, since it uses more digits than its factorization.

98746777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 61.

The spelling of 98746777600 in words is "ninety-eight billion, seven hundred forty-six million, seven hundred seventy-seven thousand, six hundred".