2153117616544 has 24 divisors (see below), whose sum is σ = 4239010546848. Its totient is φ = 1076543509440.

The previous prime is 2153117616541. The next prime is 2153117616547. The reversal of 2153117616544 is 4456167113512.

It is an interprime number because it is at equal distance from previous prime (2153117616541) and next prime (2153117616547).

It is a junction number, because it is equal to n+sod(n) for n = 2153117616494 and 2153117616503.

It is not an unprimeable number, because it can be changed into a prime (2153117616541) 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 3 ways as a sum of consecutive naturals, for example, 2007739 + ... + 2887429.

It is an arithmetic number, because the mean of its divisors is an integer number (176625439452).

Almost surely, 2^{2153117616544} is an apocalyptic number.

It is an amenable number.

2153117616544 is a deficient number, since it is larger than the sum of its proper divisors (2085892930304).

2153117616544 is an equidigital number, since it uses as much as digits as its factorization.

2153117616544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956188 (or 956180 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The spelling of 2153117616544 in words is "two trillion, one hundred fifty-three billion, one hundred seventeen million, six hundred sixteen thousand, five hundred forty-four".