13416612000 has 192 divisors, whose sum is σ = 47949003648. Its totient is φ = 3252480000.

The previous prime is 13416611983. The next prime is 13416612049. The reversal of 13416612000 is 21661431.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 81180 + ... + 182820.

It is an arithmetic number, because the mean of its divisors is an integer number (249734394).

Almost surely, 2^13416612000 is an apocalyptic number.

13416612000 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 13416612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23974501824).

13416612000 is an abundant number, since it is smaller than the sum of its proper divisors (34532391648).

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

13416612000 is a wasteful number, since it uses less digits than its factorization.

13416612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101680 (or 101662 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 13416612000 in words is "thirteen billion, four hundred sixteen million, six hundred twelve thousand".