13950368640 has 768 divisors, whose sum is σ = 56849169600. Its totient is φ = 3220439040.

The previous prime is 13950368633. The next prime is 13950368669. The reversal of 13950368640 is 4686305931.

13950368640 is a `hidden beast` number, since 139 + 503 + 6 + 8 + 6 + 4 + 0 = 666.

13950368640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13950368640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49645300 + ... + 49645580.

Almost surely, 2^13950368640 is an apocalyptic number.

13950368640 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 13950368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28424584800).

13950368640 is an abundant number, since it is smaller than the sum of its proper divisors (42898800960).

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

13950368640 is a wasteful number, since it uses less digits than its factorization.

13950368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13950368640 in words is "thirteen billion, nine hundred fifty million, three hundred sixty-eight thousand, six hundred forty".