18496161335520 has 576 divisors, whose sum is σ = 69310409785344. Its totient is φ = 4454433423360.

The previous prime is 18496161335459. The next prime is 18496161335521. The reversal of 18496161335520 is 2553316169481.

18496161335520 is a `hidden beast` number, since 1 + 8 + 4 + 9 + 616 + 13 + 3 + 5 + 5 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18496161335521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1559141109 + ... + 1559152971.

It is an arithmetic number, because the mean of its divisors is an integer number (120330572544).

Almost surely, 2^{18496161335520} is an apocalyptic number.

18496161335520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18496161335520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34655204892672).

18496161335520 is an abundant number, since it is smaller than the sum of its proper divisors (50814248449824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18496161335520 is a wasteful number, since it uses less digits than its factorization.

18496161335520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12535 (or 12524 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 18496161335520 in words is "eighteen trillion, four hundred ninety-six billion, one hundred sixty-one million, three hundred thirty-five thousand, five hundred twenty".