16486411468800 has 3264 divisors, whose sum is σ = 73395062415360. Its totient is φ = 3170893824000.

The previous prime is 16486411468727. The next prime is 16486411468817. The reversal of 16486411468800 is 886411468461.

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, 402107596780 + ... + 402107596820.

Almost surely, 2^{16486411468800} is an apocalyptic number.

16486411468800 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 16486411468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36697531207680).

16486411468800 is an abundant number, since it is smaller than the sum of its proper divisors (56908650946560).

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

16486411468800 is a wasteful number, since it uses less digits than its factorization.

16486411468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 16486411468800 in words is "sixteen trillion, four hundred eighty-six billion, four hundred eleven million, four hundred sixty-eight thousand, eight hundred".