14364779520 has 704 divisors, whose sum is σ = 58104668160. Its totient is φ = 2947940352.

The previous prime is 14364779519. The next prime is 14364779549. The reversal of 14364779520 is 2597746341.

It is a super-2 number, since 2×14364779520² (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 a self number, because there is not a number n which added to its sum of digits gives 14364779520.

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 63 ways as a sum of consecutive naturals, for example, 60103561 + ... + 60103799.

It is an arithmetic number, because the mean of its divisors is an integer number (82535040).

Almost surely, 2^14364779520 is an apocalyptic number.

14364779520 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 14364779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29052334080).

14364779520 is an abundant number, since it is smaller than the sum of its proper divisors (43739888640).

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

14364779520 is a wasteful number, since it uses less digits than its factorization.

14364779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 14364779520 in words is "fourteen billion, three hundred sixty-four million, seven hundred seventy-nine thousand, five hundred twenty".