74229547401 has 27 divisors (see below), whose sum is σ = 108001762453. Its totient is φ = 49128364320.

The previous prime is 74229547391. The next prime is 74229547429. The reversal of 74229547401 is 10474592247.

The square root of 74229547401 is 272451.

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

74229547401 is a `hidden beast` number, since 7 + 42 + 29 + 547 + 40 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14584185225 + 59645362176 = 120765^2 + 244224^2 .

It is a de Polignac number, because none of the positive numbers 2^k-74229547401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74229547481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161018311 + ... + 161018771.

Almost surely, 2^74229547401 is an apocalyptic number.

74229547401 is the 272451-st square number.

74229547401 is the 136226-th centered octagonal number.

It is an amenable number.

74229547401 is a deficient number, since it is larger than the sum of its proper divisors (33772215052).

74229547401 is an frugal number, since it uses more digits than its factorization.

74229547401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 74229547401 in words is "seventy-four billion, two hundred twenty-nine million, five hundred forty-seven thousand, four hundred one".