18049173131520 has 1152 divisors, whose sum is σ = 68915207047680. Its totient is φ = 4512801226752.

The previous prime is 18049173131459. The next prime is 18049173131531. The reversal of 18049173131520 is 2513137194081.

18049173131520 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 91 + 7 + 3 + 1 + 31 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16513424094 + ... + 16513425186.

It is an arithmetic number, because the mean of its divisors is an integer number (59822228340).

Almost surely, 2^{18049173131520} is an apocalyptic number.

18049173131520 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 18049173131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34457603523840).

18049173131520 is an abundant number, since it is smaller than the sum of its proper divisors (50866033916160).

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

18049173131520 is an equidigital number, since it uses as much as digits as its factorization.

18049173131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 18049173131520 in words is "eighteen trillion, forty-nine billion, one hundred seventy-three million, one hundred thirty-one thousand, five hundred twenty".