13234989600 has 1152 divisors, whose sum is σ = 61196083200. Its totient is φ = 2687385600.

The previous prime is 13234989587. The next prime is 13234989641. The reversal of 13234989600 is 698943231.

It is a happy number.

13234989600 is a `hidden beast` number, since 1 + 3 + 2 + 34 + 9 + 8 + 9 + 600 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48837465 + ... + 48837735.

It is an arithmetic number, because the mean of its divisors is an integer number (53121600).

Almost surely, 2^13234989600 is an apocalyptic number.

13234989600 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 13234989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30598041600).

13234989600 is an abundant number, since it is smaller than the sum of its proper divisors (47961093600).

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

13234989600 is a wasteful number, since it uses less digits than its factorization.

13234989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13234989600 in words is "thirteen billion, two hundred thirty-four million, nine hundred eighty-nine thousand, six hundred".