164311561254231 has 48 divisors (see below), whose sum is σ = 250135070058432. Its totient is φ = 103730605440000.

The previous prime is 164311561254229. The next prime is 164311561254233. The reversal of 164311561254231 is 132452165113461.

164311561254231 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 1 + 1 + 5 + 612 + 5 + 4 + 23 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (164311561254229) and next prime (164311561254233).

It is not a de Polignac number, because 164311561254231 - 2¹ = 164311561254229 is a prime.

It is a super-2 number, since 2×164311561254231² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164311561254233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211462831 + ... + 212238431.

It is an arithmetic number, because the mean of its divisors is an integer number (5211147292884).

Almost surely, 2^{164311561254231} is an apocalyptic number.

164311561254231 is a deficient number, since it is larger than the sum of its proper divisors (85823508804201).

164311561254231 is a wasteful number, since it uses less digits than its factorization.

164311561254231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785864 (or 785861 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 164311561254231 in words is "one hundred sixty-four trillion, three hundred eleven billion, five hundred sixty-one million, two hundred fifty-four thousand, two hundred thirty-one".