22349951001 has 105 divisors (see below), whose sum is σ = 39441214319. Its totient is φ = 12658379328.

The previous prime is 22349950999. The next prime is 22349951059. The reversal of 22349951001 is 10015994322.

The square root of 22349951001 is 149499.

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

22349951001 is a `hidden beast` number, since 22 + 34 + 99 + 510 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 393824025 + 21956126976 = 19845^2 + 148176^2 .

It is not a de Polignac number, because 22349951001 - 2¹ = 22349950999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22349956001) 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 104 ways as a sum of consecutive naturals, for example, 197787121 + ... + 197787233.

Almost surely, 2^22349951001 is an apocalyptic number.

22349951001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22349951001 is the 149499-th square number.

22349951001 is the 74750-th centered octagonal number.

It is an amenable number.

22349951001 is a deficient number, since it is larger than the sum of its proper divisors (17091263318).

22349951001 is an frugal number, since it uses more digits than its factorization.

22349951001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 22349951001 by its sum of digits (36), we get a square (804598236036 = 896994²).

The spelling of 22349951001 in words is "twenty-two billion, three hundred forty-nine million, nine hundred fifty-one thousand, one".