14831700480 has 320 divisors, whose sum is σ = 53297481600. Its totient is φ = 3909058560.

The previous prime is 14831700469. The next prime is 14831700487. The reversal of 14831700480 is 8400713841.

14831700480 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 170 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14831700487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6150475 + ... + 6152885.

It is an arithmetic number, because the mean of its divisors is an integer number (166554630).

Almost surely, 2^14831700480 is an apocalyptic number.

14831700480 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 14831700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26648740800).

14831700480 is an abundant number, since it is smaller than the sum of its proper divisors (38465781120).

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

14831700480 is an equidigital number, since it uses as much as digits as its factorization.

14831700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 14831700480 in words is "fourteen billion, eight hundred thirty-one million, seven hundred thousand, four hundred eighty".