18486164984832 has 352 divisors, whose sum is σ = 58683262371840. Its totient is φ = 5799569227776.

The previous prime is 18486164984813. The next prime is 18486164984851. The reversal of 18486164984832 is 23848946168481.

18486164984832 is a `hidden beast` number, since 1 + 8 + 4 + 8 + 61 + 6 + 498 + 48 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (18486164984813) and next prime (18486164984851).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37828513 + ... + 38314079.

Almost surely, 2^{18486164984832} is an apocalyptic number.

18486164984832 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 18486164984832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29341631185920).

18486164984832 is an abundant number, since it is smaller than the sum of its proper divisors (40197097387008).

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

18486164984832 is an frugal number, since it uses more digits than its factorization.

18486164984832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485625 (or 485589 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 72.

The spelling of 18486164984832 in words is "eighteen trillion, four hundred eighty-six billion, one hundred sixty-four million, nine hundred eighty-four thousand, eight hundred thirty-two".