16338591360 has 1152 divisors, whose sum is σ = 72821745360. Its totient is φ = 3344302080.

The previous prime is 16338591349. The next prime is 16338591407. The reversal of 16338591360 is 6319583361.

16338591360 is a `hidden beast` number, since 1 + 633 + 8 + 5 + 9 + 1 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1008189504 + 15330401856 = 31752^2 + 123816^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 223816284 + ... + 223816356.

Almost surely, 2^16338591360 is an apocalyptic number.

16338591360 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 16338591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36410872680).

16338591360 is an abundant number, since it is smaller than the sum of its proper divisors (56483154000).

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

16338591360 is a wasteful number, since it uses less digits than its factorization.

16338591360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 16338591360 in words is "sixteen billion, three hundred thirty-eight million, five hundred ninety-one thousand, three hundred sixty".