13334948000 has 192 divisors, whose sum is σ = 36713005056. Its totient is φ = 4717440000.

The previous prime is 13334947961. The next prime is 13334948017. The reversal of 13334948000 is 84943331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1623905 + ... + 1632095.

It is an arithmetic number, because the mean of its divisors is an integer number (191213568).

Almost surely, 2^13334948000 is an apocalyptic number.

13334948000 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 13334948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18356502528).

13334948000 is an abundant number, since it is smaller than the sum of its proper divisors (23378057056).

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

13334948000 is a wasteful number, since it uses less digits than its factorization.

13334948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8264 (or 8246 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 13334948000 in words is "thirteen billion, three hundred thirty-four million, nine hundred forty-eight thousand".