13906345501440 has 864 divisors, whose sum is σ = 56264139509760. Its totient is φ = 3105083621376.

The previous prime is 13906345501357. The next prime is 13906345501441. The reversal of 13906345501440 is 4410554360931.

13906345501440 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 63 + 45 + 501 + 4 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13906345501441) 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 95 ways as a sum of consecutive naturals, for example, 2186872981 + ... + 2186879339.

It is an arithmetic number, because the mean of its divisors is an integer number (65120531840).

Almost surely, 2^{13906345501440} is an apocalyptic number.

13906345501440 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 13906345501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28132069754880).

13906345501440 is an abundant number, since it is smaller than the sum of its proper divisors (42357794008320).

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

13906345501440 is a wasteful number, since it uses less digits than its factorization.

13906345501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7017 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 13906345501440 in words is "thirteen trillion, nine hundred six billion, three hundred forty-five million, five hundred one thousand, four hundred forty".