16334368896400 has 135 divisors (see below), whose sum is σ = 41691049256739. Its totient is φ = 6148892144640.

The previous prime is 16334368896367. The next prime is 16334368896407. The reversal of 16334368896400 is 469886343361.

The square root of 16334368896400 is 4041580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 382077279376 + 15952291617024 = 618124^2 + 3994032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16334368896407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1374131257 + ... + 1374143143.

Almost surely, 2^{16334368896400} is an apocalyptic number.

16334368896400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16334368896400 is the 4041580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16334368896400

16334368896400 is an abundant number, since it is smaller than the sum of its proper divisors (25356680360339).

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

16334368896400 is an frugal number, since it uses more digits than its factorization.

16334368896400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23826 (or 11911 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 61.

The spelling of 16334368896400 in words is "sixteen trillion, three hundred thirty-four billion, three hundred sixty-eight million, eight hundred ninety-six thousand, four hundred".