18838461676140 has 240 divisors, whose sum is σ = 59569317561600. Its totient is φ = 4983570396288.

The previous prime is 18838461676063. The next prime is 18838461676141. The reversal of 18838461676140 is 4167616483881.

18838461676140 is a `hidden beast` number, since 1 + 8 + 8 + 3 + 8 + 4 + 6 + 1 + 6 + 7 + 614 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18838461676141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 121424097 + ... + 121579143.

It is an arithmetic number, because the mean of its divisors is an integer number (248205489840).

Almost surely, 2^{18838461676140} is an apocalyptic number.

18838461676140 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 18838461676140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29784658780800).

18838461676140 is an abundant number, since it is smaller than the sum of its proper divisors (40730855885460).

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

18838461676140 is a wasteful number, since it uses less digits than its factorization.

18838461676140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155666 (or 155655 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 18838461676140 in words is "eighteen trillion, eight hundred thirty-eight billion, four hundred sixty-one million, six hundred seventy-six thousand, one hundred forty".