13906458720 has 1728 divisors, whose sum is σ = 67761308160. Its totient is φ = 2554675200.

The previous prime is 13906458719. The next prime is 13906458721. The reversal of 13906458720 is 2785460931.

13906458720 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 64 + 587 + 2 + 0 = 666.

13906458720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13906458719) and next prime (13906458721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13906458721) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 339181900 + ... + 339181940.

It is an arithmetic number, because the mean of its divisors is an integer number (39213720).

It is a 1-persistent number, because it is pandigital, but 2⋅13906458720 = 27812917440 is not.

Almost surely, 2^13906458720 is an apocalyptic number.

13906458720 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 13906458720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33880654080).

13906458720 is an abundant number, since it is smaller than the sum of its proper divisors (53854849440).

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

13906458720 is a wasteful number, since it uses less digits than its factorization.

13906458720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13906458720 in words is "thirteen billion, nine hundred six million, four hundred fifty-eight thousand, seven hundred twenty".