16114966560 has 1152 divisors, whose sum is σ = 73365626880. Its totient is φ = 3122380800.

The previous prime is 16114966547. The next prime is 16114966597. The reversal of 16114966560 is 6566941161.

16114966560 is a `hidden beast` number, since 16 + 1 + 14 + 9 + 66 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 181066996 + ... + 181067084.

It is an arithmetic number, because the mean of its divisors is an integer number (63685440).

Almost surely, 2^16114966560 is an apocalyptic number.

16114966560 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 16114966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36682813440).

16114966560 is an abundant number, since it is smaller than the sum of its proper divisors (57250660320).

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

16114966560 is a wasteful number, since it uses less digits than its factorization.

16114966560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 16114966560 in words is "sixteen billion, one hundred fourteen million, nine hundred sixty-six thousand, five hundred sixty".