18461163600 has 900 divisors, whose sum is σ = 77388726492. Its totient is φ = 4196966400.

The previous prime is 18461163559. The next prime is 18461163631. The reversal of 18461163600 is 636116481.

18461163600 is a `hidden beast` number, since 1 + 8 + 4 + 6 + 11 + 636 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 545876496 + 17915287104 = 23364^2 + 133848^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×18461163600² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 179 ways as a sum of consecutive naturals, for example, 66646662 + ... + 66646938.

Almost surely, 2^18461163600 is an apocalyptic number.

18461163600 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 18461163600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38694363246).

18461163600 is an abundant number, since it is smaller than the sum of its proper divisors (58927562892).

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

18461163600 is a wasteful number, since it uses less digits than its factorization.

18461163600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 18461163600 in words is "eighteen billion, four hundred sixty-one million, one hundred sixty-three thousand, six hundred".