99736174240000 has 135 divisors (see below), whose sum is σ = 248783773964187. Its totient is φ = 39892871808000.

The previous prime is 99736174239979. The next prime is 99736174240061. The reversal of 99736174240000 is 4247163799.

The square root of 99736174240000 is 9986800.

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

It can be written as a sum of positive squares in 2 ways, for example, as 7819316060416 + 91916858179584 = 2796304^2 + 9587328^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 99736174240000.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3994707517 + ... + 3994732483.

Almost surely, 2^{99736174240000} is an apocalyptic number.

99736174240000 is the 9986800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99736174240000

99736174240000 is an abundant number, since it is smaller than the sum of its proper divisors (149047599724187).

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

99736174240000 is an frugal number, since it uses more digits than its factorization.

99736174240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49970 (or 24974 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 99736174240000 in words is "ninety-nine trillion, seven hundred thirty-six billion, one hundred seventy-four million, two hundred forty thousand".