153166343661351 has 32 divisors (see below), whose sum is σ = 227514507985920. Its totient is φ = 101840601925152.

The previous prime is 153166343661311. The next prime is 153166343661391.

153166343661351 is a `hidden beast` number, since 1 + 5 + 3 + 16 + 6 + 3 + 4 + 3 + 6 + 613 + 5 + 1 = 666.

153166343661351 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (153166343661311) and next prime (153166343661391).

It is not a de Polignac number, because 153166343661351 - 2¹⁸ = 153166343399207 is a prime.

It is a super-2 number, since 2×153166343661351² (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 (153166343661311) 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 31 ways as a sum of consecutive naturals, for example, 11562510 + ... + 20976756.

It is an arithmetic number, because the mean of its divisors is an integer number (7109828374560).

Almost surely, 2^{153166343661351} is an apocalyptic number.

153166343661351 is a deficient number, since it is larger than the sum of its proper divisors (74348164324569).

153166343661351 is an equidigital number, since it uses as much as digits as its factorization.

153166343661351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9415852 (or 9415846 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 153166343661351 in words is "one hundred fifty-three trillion, one hundred sixty-six billion, three hundred forty-three million, six hundred sixty-one thousand, three hundred fifty-one".