13849904640 has 320 divisors, whose sum is σ = 52021170432. Its totient is φ = 3099033600.

The previous prime is 13849904603. The next prime is 13849904647. The reversal of 13849904640 is 4640994831.

It is a happy number.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13849904640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13849904647) 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, 1091935 + ... + 1104545.

Almost surely, 2^13849904640 is an apocalyptic number.

13849904640 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 13849904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26010585216).

13849904640 is an abundant number, since it is smaller than the sum of its proper divisors (38171265792).

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

13849904640 is a wasteful number, since it uses less digits than its factorization.

13849904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12661 (or 12645 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 13849904640 in words is "thirteen billion, eight hundred forty-nine million, nine hundred four thousand, six hundred forty".