16465874400 has 216 divisors, whose sum is σ = 60213974184. Its totient is φ = 4390848000.

The previous prime is 16465874393. The next prime is 16465874419. The reversal of 16465874400 is 447856461.

16465874400 is a `hidden beast` number, since 1 + 64 + 6 + 587 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×16465874400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 152050 + ... + 236750.

It is an arithmetic number, because the mean of its divisors is an integer number (278768399).

Almost surely, 2^16465874400 is an apocalyptic number.

16465874400 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 16465874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30106987092).

16465874400 is an abundant number, since it is smaller than the sum of its proper divisors (43748099784).

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

16465874400 is an equidigital number, since it uses as much as digits as its factorization.

16465874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84736 (or 84711 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 16465874400 in words is "sixteen billion, four hundred sixty-five million, eight hundred seventy-four thousand, four hundred".