13961398464 has 280 divisors, whose sum is σ = 44817548160. Its totient is φ = 4271947776.

The previous prime is 13961398463. The next prime is 13961398469. The reversal of 13961398464 is 46489316931.

13961398464 is a `hidden beast` number, since 1 + 3 + 96 + 1 + 3 + 98 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13961398464.

It is not an unprimeable number, because it can be changed into a prime (13961398463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15027952 + ... + 15028880.

It is an arithmetic number, because the mean of its divisors is an integer number (160062672).

Almost surely, 2^13961398464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13961398464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22408774080).

13961398464 is an abundant number, since it is smaller than the sum of its proper divisors (30856149696).

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

13961398464 is a wasteful number, since it uses less digits than its factorization.

13961398464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1170 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 13961398464 in words is "thirteen billion, nine hundred sixty-one million, three hundred ninety-eight thousand, four hundred sixty-four".