97024774144 has 117 divisors (see below), whose sum is σ = 201771778041. Its totient is φ = 46648442880.

The previous prime is 97024774111. The next prime is 97024774157. The reversal of 97024774144 is 44147742079.

The square root of 97024774144 is 311488.

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., 28439449600 + 68585324544 = 168640^2 + 261888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 617992114 + ... + 617992270.

Almost surely, 2^97024774144 is an apocalyptic number.

97024774144 is the 311488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97024774144

97024774144 is an abundant number, since it is smaller than the sum of its proper divisors (104747003897).

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

97024774144 is an frugal number, since it uses more digits than its factorization.

97024774144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 49.

Multiplying 97024774144 by its sum of digits (49), we get a square (4754213933056 = 2180416²).

The spelling of 97024774144 in words is "ninety-seven billion, twenty-four million, seven hundred seventy-four thousand, one hundred forty-four".