16451441305000 has 320 divisors, whose sum is σ = 42885366289920. Its totient is φ = 5873558400000.

The previous prime is 16451441304959. The next prime is 16451441305003. The reversal of 16451441305000 is 50314415461.

16451441305000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16451441305003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3165562402 + ... + 3165567598.

It is an arithmetic number, because the mean of its divisors is an integer number (134016769656).

Almost surely, 2^{16451441305000} is an apocalyptic number.

16451441305000 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 16451441305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21442683144960).

16451441305000 is an abundant number, since it is smaller than the sum of its proper divisors (26433924984920).

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

16451441305000 is a wasteful number, since it uses less digits than its factorization.

16451441305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6838 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 16451441305000 in words is "sixteen trillion, four hundred fifty-one billion, four hundred forty-one million, three hundred five thousand".