16338882640 has 60 divisors (see below), whose sum is σ = 38564195796. Its totient is φ = 6437865984.

The previous prime is 16338882619. The next prime is 16338882643. The reversal of 16338882640 is 4628883361.

It can be written as a sum of positive squares in 2 ways, for example, as 4206300736 + 12132581904 = 64856^2 + 110148^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16338882643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336372 + ... + 381868.

Almost surely, 2^16338882640 is an apocalyptic number.

16338882640 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 16338882640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19282097898).

16338882640 is an abundant number, since it is smaller than the sum of its proper divisors (22225313156).

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

16338882640 is an equidigital number, since it uses as much as digits as its factorization.

16338882640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45644 (or 45571 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 16338882640 in words is "sixteen billion, three hundred thirty-eight million, eight hundred eighty-two thousand, six hundred forty".