973774240000 has 135 divisors (see below), whose sum is σ = 2429888301687. Its totient is φ = 389351808000.

The previous prime is 973774239989. The next prime is 973774240013. The reversal of 973774240000 is 42477379.

The square root of 973774240000 is 986800.

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

973774240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 76343900416 + 897430339584 = 276304^2 + 947328^2 .

It is a Duffinian number.

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, 394718767 + ... + 394721233.

Almost surely, 2^973774240000 is an apocalyptic number.

973774240000 is the 986800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973774240000

973774240000 is an abundant number, since it is smaller than the sum of its proper divisors (1456114061687).

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

973774240000 is an frugal number, since it uses more digits than its factorization.

973774240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 43.

The spelling of 973774240000 in words is "nine hundred seventy-three billion, seven hundred seventy-four million, two hundred forty thousand".