18511766960148 has 1152 divisors, whose sum is σ = 67130965278720. Its totient is φ = 4378553625600.

The previous prime is 18511766960111. The next prime is 18511766960149. The reversal of 18511766960148 is 84106966711581.

18511766960148 is a `hidden beast` number, since 1 + 8 + 5 + 1 + 17 + 6 + 6 + 9 + 601 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18511766960149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3712002111 + ... + 3712007097.

It is an arithmetic number, because the mean of its divisors is an integer number (58273407360).

Almost surely, 2^{18511766960148} is an apocalyptic number.

18511766960148 is a gapful number since it is divisible by the number (18) 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 18511766960148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33565482639360).

18511766960148 is an abundant number, since it is smaller than the sum of its proper divisors (48619198318572).

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

18511766960148 is a wasteful number, since it uses less digits than its factorization.

18511766960148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 18511766960148 in words is "eighteen trillion, five hundred eleven billion, seven hundred sixty-six million, nine hundred sixty thousand, one hundred forty-eight".