16345618560 has 384 divisors, whose sum is σ = 59528064960. Its totient is φ = 4284887040.

The previous prime is 16345618537. The next prime is 16345618573. The reversal of 16345618560 is 6581654361.

16345618560 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 561 + 85 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16345618560² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9485859 + ... + 9487581.

Almost surely, 2^16345618560 is an apocalyptic number.

16345618560 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 16345618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29764032480).

16345618560 is an abundant number, since it is smaller than the sum of its proper divisors (43182446400).

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

16345618560 is an equidigital number, since it uses as much as digits as its factorization.

16345618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 16345618560 in words is "sixteen billion, three hundred forty-five million, six hundred eighteen thousand, five hundred sixty".