13234109460 has 288 divisors, whose sum is σ = 44536988160. Its totient is φ = 2909836800.

The previous prime is 13234109453. The next prime is 13234109479. The reversal of 13234109460 is 6490143231.

It is a super-3 number, since 3×13234109460³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6579855 + ... + 6581865.

It is an arithmetic number, because the mean of its divisors is an integer number (154642320).

Almost surely, 2^13234109460 is an apocalyptic number.

13234109460 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 13234109460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22268494080).

13234109460 is an abundant number, since it is smaller than the sum of its proper divisors (31302878700).

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

13234109460 is a wasteful number, since it uses less digits than its factorization.

13234109460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 13234109460 in words is "thirteen billion, two hundred thirty-four million, one hundred nine thousand, four hundred sixty".