96181413892153 has 24 divisors (see below), whose sum is σ = 97660335381336. Its totient is φ = 94724557056000.

The previous prime is 96181413892129. The next prime is 96181413892163. The reversal of 96181413892153 is 35129831418169.

It can be written as a sum of positive squares in 12 ways, for example, as 16621668073024 + 79559745819129 = 4076968^2 + 8919627^2 .

It is a de Polignac number, because none of the positive numbers 2^k-96181413892153 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 96181413892091 and 96181413892100.

It is not an unprimeable number, because it can be changed into a prime (96181413892163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11872778803 + ... + 11872786903.

It is an arithmetic number, because the mean of its divisors is an integer number (4069180640889).

Almost surely, 2^{96181413892153} is an apocalyptic number.

It is an amenable number.

96181413892153 is a deficient number, since it is larger than the sum of its proper divisors (1478921489183).

96181413892153 is a wasteful number, since it uses less digits than its factorization.

96181413892153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11245 (or 11172 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 61.

The spelling of 96181413892153 in words is "ninety-six trillion, one hundred eighty-one billion, four hundred thirteen million, eight hundred ninety-two thousand, one hundred fifty-three".