74972410312921 has 81 divisors (see below), whose sum is σ = 92428157491677. Its totient is φ = 60746394804480.

The previous prime is 74972410312913. The next prime is 74972410312963. The reversal of 74972410312921 is 12921301427947.

The square root of 74972410312921 is 8658661.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41359548837321 + 33612861475600 = 6431139^2 + 5797660^2 .

It is not a de Polignac number, because 74972410312921 - 2³ = 74972410312913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (74972410312991) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30764221315 + ... + 30764223751.

Almost surely, 2^{74972410312921} is an apocalyptic number.

74972410312921 is the 8658661-st square number.

74972410312921 is the 4329331-st centered octagonal number.

It is an amenable number.

74972410312921 is a deficient number, since it is larger than the sum of its proper divisors (17455747178756).

74972410312921 is an equidigital number, since it uses as much as digits as its factorization.

74972410312921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 74972410312921 in words is "seventy-four trillion, nine hundred seventy-two billion, four hundred ten million, three hundred twelve thousand, nine hundred twenty-one".