14105355264 has 792 divisors, whose sum is σ = 55495643840. Its totient is φ = 3357573120.

The previous prime is 14105355241. The next prime is 14105355281. The reversal of 14105355264 is 46255350141.

14105355264 is a `hidden beast` number, since 1 + 4 + 10 + 535 + 52 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×14105355264² (a number of 21 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101477307 + ... + 101477445.

Almost surely, 2^14105355264 is an apocalyptic number.

14105355264 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 14105355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27747821920).

14105355264 is an abundant number, since it is smaller than the sum of its proper divisors (41390288576).

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

14105355264 is a wasteful number, since it uses less digits than its factorization.

14105355264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 14105355264 in words is "fourteen billion, one hundred five million, three hundred fifty-five thousand, two hundred sixty-four".