14813816640 has 448 divisors, whose sum is σ = 57019545600. Its totient is φ = 3183058944.

The previous prime is 14813816629. The next prime is 14813816653. The reversal of 14813816640 is 4661831841.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14813816592 and 14813816601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20045391 + ... + 20046129.

Almost surely, 2^14813816640 is an apocalyptic number.

14813816640 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 14813816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28509772800).

14813816640 is an abundant number, since it is smaller than the sum of its proper divisors (42205728960).

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

14813816640 is a wasteful number, since it uses less digits than its factorization.

14813816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 14813816640 in words is "fourteen billion, eight hundred thirteen million, eight hundred sixteen thousand, six hundred forty".