14460677760 has 256 divisors, whose sum is σ = 48295906560. Its totient is φ = 3673325568.

The previous prime is 14460677723. The next prime is 14460677779. The reversal of 14460677760 is 6777606441.

It is a super-2 number, since 2×14460677760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13998204 + ... + 13999236.

It is an arithmetic number, because the mean of its divisors is an integer number (188655885).

Almost surely, 2^14460677760 is an apocalyptic number.

14460677760 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 14460677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24147953280).

14460677760 is an abundant number, since it is smaller than the sum of its proper divisors (33835228800).

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

14460677760 is a wasteful number, since it uses less digits than its factorization.

14460677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 14460677760 in words is "fourteen billion, four hundred sixty million, six hundred seventy-seven thousand, seven hundred sixty".