9745373010564 has 45 divisors (see below), whose sum is σ = 25476476958471. Its totient is φ = 3248438939640.

The previous prime is 9745373010559. The next prime is 9745373010577. The reversal of 9745373010564 is 4650103735479.

The square root of 9745373010564 is 3121758.

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

9745373010564 is a `hidden beast` number, since 9 + 7 + 4 + 5 + 3 + 73 + 0 + 1 + 0 + 564 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9745373010564.

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, 56104929 + ... + 56278359.

Almost surely, 2^{9745373010564} is an apocalyptic number.

9745373010564 is the 3121758-th square number.

It is an amenable number.

9745373010564 is an abundant number, since it is smaller than the sum of its proper divisors (15731103947907).

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

9745373010564 is an frugal number, since it uses more digits than its factorization.

9745373010564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346878 (or 173436 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 9745373010564 in words is "nine trillion, seven hundred forty-five billion, three hundred seventy-three million, ten thousand, five hundred sixty-four".