79353141009444 has 135 divisors (see below), whose sum is σ = 216866347773537. Its totient is φ = 25299825620256.

The previous prime is 79353141009437. The next prime is 79353141009469. The reversal of 79353141009444 is 44490014135397.

It is a happy number.

The square root of 79353141009444 is 8908038.

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

79353141009444 is a `hidden beast` number, since 7 + 9 + 3 + 53 + 141 + 0 + 0 + 9 + 444 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28103463612900 + 51249677396544 = 5301270^2 + 7158888^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3687916974 + ... + 3687938490.

Almost surely, 2^{79353141009444} is an apocalyptic number.

79353141009444 is the 8908038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79353141009444

79353141009444 is an abundant number, since it is smaller than the sum of its proper divisors (137513206764093).

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

79353141009444 is an frugal number, since it uses more digits than its factorization.

79353141009444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43096 (or 21545 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 79353141009444 in words is "seventy-nine trillion, three hundred fifty-three billion, one hundred forty-one million, nine thousand, four hundred forty-four".