16345359360 has 440 divisors, whose sum is σ = 63915134976. Its totient is φ = 3961405440.

The previous prime is 16345359337. The next prime is 16345359361. The reversal of 16345359360 is 6395354361.

16345359360 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 53 + 593 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

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

It is not an unprimeable number, because it can be changed into a prime (16345359361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4560129 + ... + 4563711.

Almost surely, 2^16345359360 is an apocalyptic number.

16345359360 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 16345359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31957567488).

16345359360 is an abundant number, since it is smaller than the sum of its proper divisors (47569775616).

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

16345359360 is a wasteful number, since it uses less digits than its factorization.

16345359360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 16345359360 in words is "sixteen billion, three hundred forty-five million, three hundred fifty-nine thousand, three hundred sixty".