16481346292800 has 2016 divisors, whose sum is σ = 67247529882624. Its totient is φ = 3805249536000.

The previous prime is 16481346292787. The next prime is 16481346292813. The reversal of 16481346292800 is 829264318461.

16481346292800 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 1 + 3 + 4 + 629 + 2 + 8 + 0 + 0 = 666.

16481346292800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16481346292787) and next prime (16481346292813).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16142356290 + ... + 16142357310.

It is an arithmetic number, because the mean of its divisors is an integer number (33356909664).

Almost surely, 2^{16481346292800} is an apocalyptic number.

16481346292800 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 16481346292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33623764941312).

16481346292800 is an abundant number, since it is smaller than the sum of its proper divisors (50766183589824).

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

16481346292800 is a wasteful number, since it uses less digits than its factorization.

16481346292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 16481346292800 in words is "sixteen trillion, four hundred eighty-one billion, three hundred forty-six million, two hundred ninety-two thousand, eight hundred".