14940880304896 has 576 divisors, whose sum is σ = 38700102583296. Its totient is φ = 5598919065600.

The previous prime is 14940880304783. The next prime is 14940880304897. The reversal of 14940880304896 is 69840308804941.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (14940880304897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18198392166 + ... + 18198392986.

It is an arithmetic number, because the mean of its divisors is an integer number (67187678096).

Almost surely, 2^{14940880304896} is an apocalyptic number.

14940880304896 is a gapful number since it is divisible by the number (16) 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 14940880304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19350051291648).

14940880304896 is an abundant number, since it is smaller than the sum of its proper divisors (23759222278400).

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

14940880304896 is a wasteful number, since it uses less digits than its factorization.

14940880304896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 64.

The spelling of 14940880304896 in words is "fourteen trillion, nine hundred forty billion, eight hundred eighty million, three hundred four thousand, eight hundred ninety-six".