14638856736 has 384 divisors, whose sum is σ = 48925900800. Its totient is φ = 3736212480.

The previous prime is 14638856719. The next prime is 14638856741. The reversal of 14638856736 is 63765883641.

It is a super-2 number, since 2×14638856736² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23199141 + ... + 23199771.

It is an arithmetic number, because the mean of its divisors is an integer number (127411200).

Almost surely, 2^14638856736 is an apocalyptic number.

14638856736 is a gapful number since it is divisible by the number (16) 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 14638856736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24462950400).

14638856736 is an abundant number, since it is smaller than the sum of its proper divisors (34287044064).

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

14638856736 is a wasteful number, since it uses less digits than its factorization.

14638856736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The spelling of 14638856736 in words is "fourteen billion, six hundred thirty-eight million, eight hundred fifty-six thousand, seven hundred thirty-six".