18881065115136 has 640 divisors, whose sum is σ = 65495857996800. Its totient is φ = 5257826795520.

The previous prime is 18881065115131. The next prime is 18881065115137. The reversal of 18881065115136 is 63151156018881.

18881065115136 is a `hidden beast` number, since 1 + 8 + 8 + 8 + 106 + 5 + 11 + 513 + 6 = 666.

It is a super-2 number, since 2×18881065115136² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18881065115131) 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 63 ways as a sum of consecutive naturals, for example, 5883783100 + ... + 5883786308.

It is an arithmetic number, because the mean of its divisors is an integer number (102337278120).

Almost surely, 2^{18881065115136} is an apocalyptic number.

18881065115136 is a gapful number since it is divisible by the number (16) 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 18881065115136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32747928998400).

18881065115136 is an abundant number, since it is smaller than the sum of its proper divisors (46614792881664).

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

18881065115136 is a wasteful number, since it uses less digits than its factorization.

18881065115136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 54.

The spelling of 18881065115136 in words is "eighteen trillion, eight hundred eighty-one billion, sixty-five million, one hundred fifteen thousand, one hundred thirty-six".