18161337600 has 648 divisors, whose sum is σ = 76653204992. Its totient is φ = 4014489600.

The previous prime is 18161337563. The next prime is 18161337613. The reversal of 18161337600 is 673316181.

18161337600 is a `hidden beast` number, since 1 + 8 + 1 + 6 + 13 + 37 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12498474 + ... + 12499926.

Almost surely, 2^18161337600 is an apocalyptic number.

18161337600 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 18161337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38326602496).

18161337600 is an abundant number, since it is smaller than the sum of its proper divisors (58491867392).

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

18161337600 is a wasteful number, since it uses less digits than its factorization.

18161337600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 18161337600 in words is "eighteen billion, one hundred sixty-one million, three hundred thirty-seven thousand, six hundred".