16047074574400 has 567 divisors, whose sum is σ = 43259055044709. Its totient is φ = 5857686159360.

The previous prime is 16047074574359. The next prime is 16047074574407. The reversal of 16047074574400 is 447547074061.

The square root of 16047074574400 is 4005880.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4298523130944 + 11748551443456 = 2073288^2 + 3427616^2 .

It is a super-2 number, since 2×16047074574400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16047074574407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 117131931132 + ... + 117131931268.

Almost surely, 2^{16047074574400} is an apocalyptic number.

16047074574400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16047074574400 is the 4005880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16047074574400

16047074574400 is an abundant number, since it is smaller than the sum of its proper divisors (27211980470309).

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

16047074574400 is an equidigital number, since it uses as much as digits as its factorization.

16047074574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 49.

Multiplying 16047074574400 by its sum of digits (49), we get a square (786306654145600 = 28041160²).

The spelling of 16047074574400 in words is "sixteen trillion, forty-seven billion, seventy-four million, five hundred seventy-four thousand, four hundred".