14629144401 has 45 divisors (see below), whose sum is σ = 22249054443. Its totient is φ = 9579319200.

The previous prime is 14629144381. The next prime is 14629144433. The reversal of 14629144401 is 10444192641.

It is a happy number.

The square root of 14629144401 is 120951.

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

14629144401 is a `hidden beast` number, since 14 + 629 + 14 + 4 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2809106001 + 11820038400 = 53001^2 + 108720^2 .

It is not a de Polignac number, because 14629144401 - 2¹³ = 14629136209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14629143401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 96881676 + ... + 96881826.

Almost surely, 2^14629144401 is an apocalyptic number.

14629144401 is the 120951-st square number.

14629144401 is the 60476-th centered octagonal number.

It is an amenable number.

14629144401 is a deficient number, since it is larger than the sum of its proper divisors (7619910042).

14629144401 is an frugal number, since it uses more digits than its factorization.

14629144401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 14629144401 by its sum of digits (36), we get a square (526649198436 = 725706²).

The spelling of 14629144401 in words is "fourteen billion, six hundred twenty-nine million, one hundred forty-four thousand, four hundred one".