23793153345153 has 48 divisors (see below), whose sum is σ = 34618539271680. Its totient is φ = 15746867769600.

The previous prime is 23793153345133. The next prime is 23793153345179. The reversal of 23793153345153 is 35154335139732.

23793153345153 is a `hidden beast` number, since 2 + 3 + 7 + 9 + 3 + 1 + 533 + 4 + 51 + 53 = 666.

It is not a de Polignac number, because 23793153345153 - 2⁵ = 23793153345121 is a prime.

It is a super-2 number, since 2×23793153345153² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23793153345153.

It is not an unprimeable number, because it can be changed into a prime (23793153345133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318828813 + ... + 1318846853.

It is an arithmetic number, because the mean of its divisors is an integer number (721219568160).

Almost surely, 2^{23793153345153} is an apocalyptic number.

It is an amenable number.

23793153345153 is a deficient number, since it is larger than the sum of its proper divisors (10825385926527).

23793153345153 is a wasteful number, since it uses less digits than its factorization.

23793153345153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20070 (or 20067 counting only the distinct ones).

The product of its digits is 15309000, while the sum is 54.

The spelling of 23793153345153 in words is "twenty-three trillion, seven hundred ninety-three billion, one hundred fifty-three million, three hundred forty-five thousand, one hundred fifty-three".