117122155645401 has 9 divisors (see below), whose sum is σ = 169176493939999. Its totient is φ = 78081415452336.

The previous prime is 117122155645379. The next prime is 117122155645433. The reversal of 117122155645401 is 104546551221711.

The square root of 117122155645401 is 10822299.

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

117122155645401 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 22 + 15 + 564 + 54 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47145183075225 + 69976972570176 = 6866235^2 + 8365224^2 .

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

It is not a de Polignac number, because 117122155645401 - 2⁹ = 117122155644889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117122155645501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30663181 + ... + 34270613.

Almost surely, 2^{117122155645401} is an apocalyptic number.

117122155645401 is the 10822299-th square number.

117122155645401 is the 5411150-th centered octagonal number.

It is an amenable number.

117122155645401 is a deficient number, since it is larger than the sum of its proper divisors (52054338294598).

117122155645401 is an frugal number, since it uses more digits than its factorization.

117122155645401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7214872 (or 3607436 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 117122155645401 in words is "one hundred seventeen trillion, one hundred twenty-two billion, one hundred fifty-five million, six hundred forty-five thousand, four hundred one".