13314576000 has 512 divisors, whose sum is σ = 48759459840. Its totient is φ = 3187200000.

The previous prime is 13314575993. The next prime is 13314576031. The reversal of 13314576000 is 67541331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79727917 + ... + 79728083.

It is an arithmetic number, because the mean of its divisors is an integer number (95233320).

Almost surely, 2^13314576000 is an apocalyptic number.

13314576000 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 13314576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24379729920).

13314576000 is an abundant number, since it is smaller than the sum of its proper divisors (35444883840).

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

13314576000 is a wasteful number, since it uses less digits than its factorization.

13314576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 13314576000 in words is "thirteen billion, three hundred fourteen million, five hundred seventy-six thousand".