14498082416640 has 384 divisors, whose sum is σ = 47184542496000. Its totient is φ = 3799418142720.

The previous prime is 14498082416621. The next prime is 14498082416647. The reversal of 14498082416640 is 4661428089441.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (14498082416647) 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, 2685324661 + ... + 2685330059.

It is an arithmetic number, because the mean of its divisors is an integer number (122876412750).

Almost surely, 2^{14498082416640} is an apocalyptic number.

14498082416640 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 14498082416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23592271248000).

14498082416640 is an abundant number, since it is smaller than the sum of its proper divisors (32686460079360).

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

14498082416640 is a wasteful number, since it uses less digits than its factorization.

14498082416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6923 (or 6903 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 14498082416640 in words is "fourteen trillion, four hundred ninety-eight billion, eighty-two million, four hundred sixteen thousand, six hundred forty".