16456886940 has 192 divisors, whose sum is σ = 52063119360. Its totient is φ = 3855774720.

The previous prime is 16456886939. The next prime is 16456886959. The reversal of 16456886940 is 4968865461.

16456886940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1600897 + ... + 1611143.

It is an arithmetic number, because the mean of its divisors is an integer number (271162080).

Almost surely, 2^16456886940 is an apocalyptic number.

16456886940 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 16456886940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26031559680).

16456886940 is an abundant number, since it is smaller than the sum of its proper divisors (35606232420).

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

16456886940 is a wasteful number, since it uses less digits than its factorization.

16456886940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10372 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 16456886940 in words is "sixteen billion, four hundred fifty-six million, eight hundred eighty-six thousand, nine hundred forty".