983131740900 has 405 divisors, whose sum is σ = 3338480740441. Its totient is φ = 250246307520.

The previous prime is 983131740859. The next prime is 983131740901. The reversal of 983131740900 is 9047131389.

The square root of 983131740900 is 991530.

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., 353927426724 + 629204314176 = 594918^2 + 793224^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (983131740901) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2052466861 + ... + 2052467339.

Almost surely, 2^983131740900 is an apocalyptic number.

983131740900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

983131740900 is the 991530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983131740900

983131740900 is an abundant number, since it is smaller than the sum of its proper divisors (2355348999541).

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

983131740900 is a wasteful number, since it uses less digits than its factorization.

983131740900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 983131740900 in words is "nine hundred eighty-three billion, one hundred thirty-one million, seven hundred forty thousand, nine hundred".