16345415880 has 384 divisors, whose sum is σ = 56797977600. Its totient is φ = 4069785600.

The previous prime is 16345415861. The next prime is 16345415881. The reversal of 16345415880 is 8851454361.

16345415880 is a `hidden beast` number, since 1 + 63 + 4 + 5 + 4 + 1 + 588 + 0 = 666.

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 (16345415881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63600712 + ... + 63600968.

It is an arithmetic number, because the mean of its divisors is an integer number (147911400).

Almost surely, 2^16345415880 is an apocalyptic number.

16345415880 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 16345415880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28398988800).

16345415880 is an abundant number, since it is smaller than the sum of its proper divisors (40452561720).

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

16345415880 is a wasteful number, since it uses less digits than its factorization.

16345415880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 16345415880 in words is "sixteen billion, three hundred forty-five million, four hundred fifteen thousand, eight hundred eighty".