18361393017552 has 240 divisors, whose sum is σ = 55982476892160. Its totient is φ = 5584317355008.

The previous prime is 18361393017547. The next prime is 18361393017563. The reversal of 18361393017552 is 25571039316381.

18361393017552 is a `hidden beast` number, since 1 + 8 + 3 + 613 + 9 + 3 + 0 + 17 + 5 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63809583 + ... + 64096689.

It is an arithmetic number, because the mean of its divisors is an integer number (233260320384).

Almost surely, 2^{18361393017552} is an apocalyptic number.

18361393017552 is a gapful number since it is divisible by the number (12) 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 18361393017552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27991238446080).

18361393017552 is an abundant number, since it is smaller than the sum of its proper divisors (37621083874608).

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

18361393017552 is a wasteful number, since it uses less digits than its factorization.

18361393017552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287530 (or 287521 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 18361393017552 in words is "eighteen trillion, three hundred sixty-one billion, three hundred ninety-three million, seventeen thousand, five hundred fifty-two".