74829055401 has 9 divisors (see below), whose sum is σ = 108087598749. Its totient is φ = 49885489836.

The previous prime is 74829055373. The next prime is 74829055429. The reversal of 74829055401 is 10455092847.

The square root of 74829055401 is 273549.

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

74829055401 is a `hidden beast` number, since 7 + 4 + 8 + 2 + 90 + 554 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (74829055373) and next prime (74829055429).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 74829055401 - 2²⁷ = 74694837673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (74829055481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 775056 + ... + 866238.

Almost surely, 2^74829055401 is an apocalyptic number.

74829055401 is the 273549-th square number.

74829055401 is the 136775-th centered octagonal number.

It is an amenable number.

74829055401 is a deficient number, since it is larger than the sum of its proper divisors (33258543348).

74829055401 is an frugal number, since it uses more digits than its factorization.

74829055401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182372 (or 91186 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 74829055401 in words is "seventy-four billion, eight hundred twenty-nine million, fifty-five thousand, four hundred one".