149429406721 has 33 divisors (see below), whose sum is σ = 182243614721. Its totient is φ = 122513550852.

The previous prime is 149429406719. The next prime is 149429406781. The reversal of 149429406721 is 127604924941.

The square root of 149429406721 is 386561.

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

It is not a de Polignac number, because 149429406721 - 2¹ = 149429406719 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (149429406781) 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 32 ways as a sum of consecutive naturals, for example, 6496930716 + ... + 6496930738.

Almost surely, 2^149429406721 is an apocalyptic number.

149429406721 is the 386561-st square number.

149429406721 is the 193281-st centered octagonal number.

It is an amenable number.

149429406721 is a deficient number, since it is larger than the sum of its proper divisors (32814208000).

149429406721 is an frugal number, since it uses more digits than its factorization.

149429406721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 149429406721 by its sum of digits (49), we get a square (7322040929329 = 2705927²).

149429406721 divided by its sum of digits (49) gives a square (3049579729 = 55223²).

The spelling of 149429406721 in words is "one hundred forty-nine billion, four hundred twenty-nine million, four hundred six thousand, seven hundred twenty-one".