16114563360 has 576 divisors, whose sum is σ = 66085891200. Its totient is φ = 3656669184.

The previous prime is 16114563359. The next prime is 16114563373. The reversal of 16114563360 is 6336541161.

16114563360 is a `hidden beast` number, since 1 + 6 + 1 + 14 + 5 + 633 + 6 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 56941779 + ... + 56942061.

It is an arithmetic number, because the mean of its divisors is an integer number (114732450).

Almost surely, 2^16114563360 is an apocalyptic number.

16114563360 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 16114563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33042945600).

16114563360 is an abundant number, since it is smaller than the sum of its proper divisors (49971327840).

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

16114563360 is a wasteful number, since it uses less digits than its factorization.

16114563360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 16114563360 in words is "sixteen billion, one hundred fourteen million, five hundred sixty-three thousand, three hundred sixty".