18613905386076 has 960 divisors, whose sum is σ = 67932852879360. Its totient is φ = 4341936130560.

The previous prime is 18613905386059. The next prime is 18613905386077. The reversal of 18613905386076 is 67068350931681.

18613905386076 is a `hidden beast` number, since 1 + 8 + 6 + 1 + 3 + 90 + 538 + 6 + 0 + 7 + 6 = 666.

It is a super-2 number, since 2×18613905386076² (a number of 27 digits) contains 22 as substring.

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 (18613905386077) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1371991845 + ... + 1372005411.

It is an arithmetic number, because the mean of its divisors is an integer number (70763388416).

Almost surely, 2^{18613905386076} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18613905386076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33966426439680).

18613905386076 is an abundant number, since it is smaller than the sum of its proper divisors (49318947493284).

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

18613905386076 is a wasteful number, since it uses less digits than its factorization.

18613905386076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13669 (or 13640 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

It can be divided in two parts, 18613905 and 386076, that added together give a palindrome (18999981).

The spelling of 18613905386076 in words is "eighteen trillion, six hundred thirteen billion, nine hundred five million, three hundred eighty-six thousand, seventy-six".