13734017480 has 32 divisors (see below), whose sum is σ = 30904875000. Its totient is φ = 5493014016.

The previous prime is 13734017431. The next prime is 13734017483. The reversal of 13734017480 is 8471043731.

13734017480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10293725764 + 3440291716 = 101458^2 + 58654^2 .

It is a super-2 number, since 2×13734017480² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13734017483) 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 7 ways as a sum of consecutive naturals, for example, 723146 + ... + 741894.

Almost surely, 2^13734017480 is an apocalyptic number.

13734017480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13734017480 is an abundant number, since it is smaller than the sum of its proper divisors (17170857520).

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

13734017480 is a wasteful number, since it uses less digits than its factorization.

13734017480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37073 (or 37069 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 13734017480 in words is "thirteen billion, seven hundred thirty-four million, seventeen thousand, four hundred eighty".