14855617920 has 512 divisors, whose sum is σ = 56606376960. Its totient is φ = 3266150400.

The previous prime is 14855617901. The next prime is 14855617927. The reversal of 14855617920 is 2971655841.

It is a happy number.

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 14855617920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14855617927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16747717 + ... + 16748603.

It is an arithmetic number, because the mean of its divisors is an integer number (110559330).

Almost surely, 2^14855617920 is an apocalyptic number.

14855617920 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 14855617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28303188480).

14855617920 is an abundant number, since it is smaller than the sum of its proper divisors (41750759040).

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

14855617920 is a wasteful number, since it uses less digits than its factorization.

14855617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 14855617920 in words is "fourteen billion, eight hundred fifty-five million, six hundred seventeen thousand, nine hundred twenty".