18531649299240 has 1152 divisors, whose sum is σ = 76667597959680. Its totient is φ = 3799604920320.

The previous prime is 18531649299199. The next prime is 18531649299257. The reversal of 18531649299240 is 4299294613581.

18531649299240 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 16 + 492 + 9 + 92 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 12806944197 + ... + 12806945643.

It is an arithmetic number, because the mean of its divisors is an integer number (66551734340).

Almost surely, 2^{18531649299240} is an apocalyptic number.

18531649299240 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 18531649299240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38333798979840).

18531649299240 is an abundant number, since it is smaller than the sum of its proper divisors (58135948660440).

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

18531649299240 is a wasteful number, since it uses less digits than its factorization.

18531649299240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 18531649299240 in words is "eighteen trillion, five hundred thirty-one billion, six hundred forty-nine million, two hundred ninety-nine thousand, two hundred forty".