117157148338401 has 16 divisors (see below), whose sum is σ = 173737484469120. Its totient is φ = 78027663106800.

The previous prime is 117157148338357. The next prime is 117157148338469. The reversal of 117157148338401 is 104833841751711.

117157148338401 is a `hidden beast` number, since 1 + 1 + 7 + 15 + 71 + 483 + 3 + 84 + 0 + 1 = 666.

It is not a de Polignac number, because 117157148338401 - 2¹⁰ = 117157148337377 is a prime.

It is a super-3 number, since 3×117157148338401³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (117157148338001) 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 15 ways as a sum of consecutive naturals, for example, 2141706925 + ... + 2141761626.

It is an arithmetic number, because the mean of its divisors is an integer number (10858592779320).

Almost surely, 2^{117157148338401} is an apocalyptic number.

It is an amenable number.

117157148338401 is a deficient number, since it is larger than the sum of its proper divisors (56580336130719).

117157148338401 is a wasteful number, since it uses less digits than its factorization.

117157148338401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283469573 (or 4283469567 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 117157148338401 in words is "one hundred seventeen trillion, one hundred fifty-seven billion, one hundred forty-eight million, three hundred thirty-eight thousand, four hundred one".