16145049600 has 720 divisors, whose sum is σ = 63591828300. Its totient is φ = 4034396160.

The previous prime is 16145049593. The next prime is 16145049601. The reversal of 16145049600 is 694054161.

16145049600 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 5 + 0 + 49 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12166972416 + 3978077184 = 110304^2 + 63072^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 (16145049601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70502286 + ... + 70502514.

Almost surely, 2^16145049600 is an apocalyptic number.

16145049600 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 16145049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31795914150).

16145049600 is an abundant number, since it is smaller than the sum of its proper divisors (47446778700).

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

16145049600 is a wasteful number, since it uses less digits than its factorization.

16145049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 16145049600 in words is "sixteen billion, one hundred forty-five million, forty-nine thousand, six hundred".