16383145864400 has 180 divisors, whose sum is σ = 45798992512812. Its totient is φ = 5615572193280.

The previous prime is 16383145864303. The next prime is 16383145864403. The reversal of 16383145864400 is 446854138361.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 333635622544 + 16049510241856 = 577612^2 + 4006184^2 .

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16383145864403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74232614 + ... + 74452986.

Almost surely, 2^{16383145864400} is an apocalyptic number.

16383145864400 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 16383145864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22899496256406).

16383145864400 is an abundant number, since it is smaller than the sum of its proper divisors (29415846648412).

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

16383145864400 is a wasteful number, since it uses less digits than its factorization.

16383145864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224198 (or 224180 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 53.

The spelling of 16383145864400 in words is "sixteen trillion, three hundred eighty-three billion, one hundred forty-five million, eight hundred sixty-four thousand, four hundred".