13457785614 has 96 divisors (see below), whose sum is σ = 35493252480. Its totient is φ = 3362482368.

The previous prime is 13457785613. The next prime is 13457785673. The reversal of 13457785614 is 41658775431.

It is a happy number.

It is a super-2 number, since 2×13457785614² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13457785613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20044 + ... + 165279.

It is an arithmetic number, because the mean of its divisors is an integer number (369721380).

Almost surely, 2^13457785614 is an apocalyptic number.

13457785614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13457785614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17746626240).

13457785614 is an abundant number, since it is smaller than the sum of its proper divisors (22035466866).

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

13457785614 is a wasteful number, since it uses less digits than its factorization.

13457785614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185374 (or 185367 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 51.

The spelling of 13457785614 in words is "thirteen billion, four hundred fifty-seven million, seven hundred eighty-five thousand, six hundred fourteen".