74147834601 has 27 divisors (see below), whose sum is σ = 108043949559. Its totient is φ = 49001109552.

The previous prime is 74147834599. The next prime is 74147834617. The reversal of 74147834601 is 10643874147.

The square root of 74147834601 is 272301.

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

74147834601 is a `hidden beast` number, since 7 + 4 + 1 + 4 + 7 + 8 + 34 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17254136025 + 56893698576 = 131355^2 + 238524^2 .

It is not a de Polignac number, because 74147834601 - 2¹ = 74147834599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (74147836601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113549191 + ... + 113549843.

Almost surely, 2^74147834601 is an apocalyptic number.

74147834601 is the 272301-st square number.

74147834601 is the 136151-st centered octagonal number.

It is an amenable number.

74147834601 is a deficient number, since it is larger than the sum of its proper divisors (33896114958).

74147834601 is an frugal number, since it uses more digits than its factorization.

74147834601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 74147834601 in words is "seventy-four billion, one hundred forty-seven million, eight hundred thirty-four thousand, six hundred one".