180457960466016 has 216 divisors, whose sum is σ = 541919874099240. Its totient is φ = 59133112929792.

The previous prime is 180457960465973. The next prime is 180457960466033. The reversal of 180457960466016 is 610664069754081.

It is a happy number.

180457960466016 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 5 + 7 + 9 + 604 + 6 + 6 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5103100 + ... + 19671236.

It is an arithmetic number, because the mean of its divisors is an integer number (2508888306015).

Almost surely, 2^{180457960466016} is an apocalyptic number.

180457960466016 is a gapful number since it is divisible by the number (16) 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 180457960466016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270959937049620).

180457960466016 is an abundant number, since it is smaller than the sum of its proper divisors (361461913633224).

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

180457960466016 is an frugal number, since it uses more digits than its factorization.

180457960466016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14568230 (or 14568201 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 180457960466016 in words is "one hundred eighty trillion, four hundred fifty-seven billion, nine hundred sixty million, four hundred sixty-six thousand, sixteen".