18662161432320 has 1728 divisors, whose sum is σ = 79804751330304. Its totient is φ = 4086737141760.

The previous prime is 18662161432303. The next prime is 18662161432337. The reversal of 18662161432320 is 2323416126681.

18662161432320 is a `hidden beast` number, since 1 + 8 + 6 + 6 + 2 + 1 + 614 + 3 + 2 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (18662161432303) and next prime (18662161432337).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4962019240 + ... + 4962023000.

It is an arithmetic number, because the mean of its divisors is an integer number (46183305168).

Almost surely, 2^{18662161432320} is an apocalyptic number.

18662161432320 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 18662161432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39902375665152).

18662161432320 is an abundant number, since it is smaller than the sum of its proper divisors (61142589897984).

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

18662161432320 is an equidigital number, since it uses as much as digits as its factorization.

18662161432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 18662161432320 in words is "eighteen trillion, six hundred sixty-two billion, one hundred sixty-one million, four hundred thirty-two thousand, three hundred twenty".