74367080613225 has 81 divisors (see below), whose sum is σ = 133779811066447. Its totient is φ = 39490453217280.

The previous prime is 74367080613197. The next prime is 74367080613251. The reversal of 74367080613225 is 52231608076347.

It is a happy number.

The square root of 74367080613225 is 8623635.

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

74367080613225 is a `hidden beast` number, since 7 + 436 + 70 + 8 + 0 + 6 + 132 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 180004184361 + 74187076428864 = 424269^2 + 8613192^2 .

It is not a de Polignac number, because 74367080613225 - 2³⁵ = 74332720874857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33244111807 + ... + 33244114043.

Almost surely, 2^{74367080613225} is an apocalyptic number.

74367080613225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

74367080613225 is the 8623635-th square number.

74367080613225 is the 4311818-th centered octagonal number.

It is an amenable number.

74367080613225 is a deficient number, since it is larger than the sum of its proper divisors (59412730453222).

74367080613225 is an frugal number, since it uses more digits than its factorization.

74367080613225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 74367080613225 in words is "seventy-four trillion, three hundred sixty-seven billion, eighty million, six hundred thirteen thousand, two hundred twenty-five".