16145382960 has 240 divisors, whose sum is σ = 62841692160. Its totient is φ = 3638315520.

The previous prime is 16145382871. The next prime is 16145382971. The reversal of 16145382960 is 6928354161.

16145382960 is a `hidden beast` number, since 1 + 61 + 453 + 82 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335281 + ... + 380399.

It is an arithmetic number, because the mean of its divisors is an integer number (261840384).

Almost surely, 2^16145382960 is an apocalyptic number.

16145382960 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 16145382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31420846080).

16145382960 is an abundant number, since it is smaller than the sum of its proper divisors (46696309200).

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

16145382960 is a wasteful number, since it uses less digits than its factorization.

16145382960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45216 (or 45207 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 16145382960 in words is "sixteen billion, one hundred forty-five million, three hundred eighty-two thousand, nine hundred sixty".