16354214051400 has 144 divisors (see below), whose sum is σ = 55466693916660. Its totient is φ = 4317944256000.

The previous prime is 16354214051387. The next prime is 16354214051407. The reversal of 16354214051400 is 415041245361.

16354214051400 is a `hidden beast` number, since 1 + 6 + 35 + 4 + 214 + 0 + 5 + 1 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6700777479396 + 9653436572004 = 2588586^2 + 3106998^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16354214051407) 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, 44796787 + ... + 45160386.

Almost surely, 2^{16354214051400} is an apocalyptic number.

16354214051400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16354214051400 is an abundant number, since it is smaller than the sum of its proper divisors (39112479865260).

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

16354214051400 is a wasteful number, since it uses less digits than its factorization.

16354214051400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89957296 (or 89957284 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 16354214051400 its reverse (415041245361), we get a palindrome (16769255296761).

The spelling of 16354214051400 in words is "sixteen trillion, three hundred fifty-four billion, two hundred fourteen million, fifty-one thousand, four hundred".