16149206304 has 768 divisors, whose sum is σ = 63228211200. Its totient is φ = 3881779200.

The previous prime is 16149206303. The next prime is 16149206317. The reversal of 16149206304 is 40360294161.

16149206304 is a `hidden beast` number, since 1 + 6 + 14 + 9 + 2 + 0 + 630 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16149206303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123276319 + ... + 123276449.

It is an arithmetic number, because the mean of its divisors is an integer number (82328400).

Almost surely, 2^16149206304 is an apocalyptic number.

16149206304 is a gapful number since it is divisible by the number (14) 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 16149206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31614105600).

16149206304 is an abundant number, since it is smaller than the sum of its proper divisors (47079004896).

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

16149206304 is a wasteful number, since it uses less digits than its factorization.

16149206304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 16149206304 in words is "sixteen billion, one hundred forty-nine million, two hundred six thousand, three hundred four".