14772817920 has 416 divisors, whose sum is σ = 55200787200. Its totient is φ = 3371827200.

The previous prime is 14772817909. The next prime is 14772817949. The reversal of 14772817920 is 2971827741.

It is a super-2 number, since 2×14772817920² (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 14772817920.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21073570 + ... + 21074270.

It is an arithmetic number, because the mean of its divisors is an integer number (132694200).

Almost surely, 2^14772817920 is an apocalyptic number.

14772817920 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 14772817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27600393600).

14772817920 is an abundant number, since it is smaller than the sum of its proper divisors (40427969280).

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

14772817920 is an frugal number, since it uses more digits than its factorization.

14772817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The spelling of 14772817920 in words is "fourteen billion, seven hundred seventy-two million, eight hundred seventeen thousand, nine hundred twenty".