14105713248 has 240 divisors, whose sum is σ = 46718622720. Its totient is φ = 4136313600.

The previous prime is 14105713123. The next prime is 14105713253. The reversal of 14105713248 is 84231750141.

14105713248 is a `hidden beast` number, since 1 + 4 + 10 + 571 + 32 + 48 = 666.

It is a super-2 number, since 2×14105713248² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 875893 + ... + 891851.

It is an arithmetic number, because the mean of its divisors is an integer number (194660928).

Almost surely, 2^14105713248 is an apocalyptic number.

14105713248 is a gapful number since it is divisible by the number (18) 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 14105713248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23359311360).

14105713248 is an abundant number, since it is smaller than the sum of its proper divisors (32612909472).

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

14105713248 is a wasteful number, since it uses less digits than its factorization.

14105713248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16023 (or 16006 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 14105713248 in words is "fourteen billion, one hundred five million, seven hundred thirteen thousand, two hundred forty-eight".