16456419936 has 576 divisors, whose sum is σ = 55688435712. Its totient is φ = 4561920000.

The previous prime is 16456419923. The next prime is 16456419943. The reversal of 16456419936 is 63991465461.

It is a happy number.

16456419936 is a `hidden beast` number, since 1 + 64 + 564 + 19 + 9 + 3 + 6 = 666.

Its product of digits (4199040) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245618175 + ... + 245618241.

It is an arithmetic number, because the mean of its divisors is an integer number (96681312).

Almost surely, 2^16456419936 is an apocalyptic number.

16456419936 is a gapful number since it is divisible by the number (16) 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 16456419936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27844217856).

16456419936 is an abundant number, since it is smaller than the sum of its proper divisors (39232015776).

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

16456419936 is a wasteful number, since it uses less digits than its factorization.

16456419936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 16456419936 in words is "sixteen billion, four hundred fifty-six million, four hundred nineteen thousand, nine hundred thirty-six".