18491063853600 has 1152 divisors, whose sum is σ = 73138318848000. Its totient is φ = 4481435566080.

The previous prime is 18491063853593. The next prime is 18491063853601. The reversal of 18491063853600 is 635836019481.

18491063853600 is a `hidden beast` number, since 1 + 8 + 49 + 1 + 0 + 63 + 8 + 536 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18491063853601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6422736961 + ... + 6422739839.

It is an arithmetic number, because the mean of its divisors is an integer number (63488124000).

Almost surely, 2^{18491063853600} is an apocalyptic number.

18491063853600 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 18491063853600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36569159424000).

18491063853600 is an abundant number, since it is smaller than the sum of its proper divisors (54647254994400).

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

18491063853600 is a wasteful number, since it uses less digits than its factorization.

18491063853600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 18491063853600 in words is "eighteen trillion, four hundred ninety-one billion, sixty-three million, eight hundred fifty-three thousand, six hundred".