16460417000 has 64 divisors (see below), whose sum is σ = 38871003600. Its totient is φ = 6523718400.

The previous prime is 16460416913. The next prime is 16460417053. The reversal of 16460417000 is 71406461.

It can be written as a sum of positive squares in 8 ways, for example, as 71808676 + 16388608324 = 8474^2 + 128018^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33494 + ... + 184506.

Almost surely, 2^16460417000 is an apocalyptic number.

16460417000 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 16460417000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19435501800).

16460417000 is an abundant number, since it is smaller than the sum of its proper divisors (22410586600).

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

16460417000 is a wasteful number, since it uses less digits than its factorization.

16460417000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151143 (or 151129 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 16460417000 in words is "sixteen billion, four hundred sixty million, four hundred seventeen thousand".