18611442237960 has 1536 divisors, whose sum is σ = 79118153049600. Its totient is φ = 3823298150400.

The previous prime is 18611442237931. The next prime is 18611442238061. The reversal of 18611442237960 is 6973224411681.

18611442237960 is a `hidden beast` number, since 1 + 86 + 1 + 1 + 442 + 2 + 37 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18611442237897 and 18611442237906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4413429772 + ... + 4413433988.

It is an arithmetic number, because the mean of its divisors is an integer number (51509214225).

Almost surely, 2^{18611442237960} is an apocalyptic number.

18611442237960 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 18611442237960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39559076524800).

18611442237960 is an abundant number, since it is smaller than the sum of its proper divisors (60506710811640).

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

18611442237960 is a wasteful number, since it uses less digits than its factorization.

18611442237960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 18611442237960 in words is "eighteen trillion, six hundred eleven billion, four hundred forty-two million, two hundred thirty-seven thousand, nine hundred sixty".