13346256000 has 1024 divisors, whose sum is σ = 57924771840. Its totient is φ = 2635776000.

The previous prime is 13346255981. The next prime is 13346256019. The reversal of 13346256000 is 65264331.

It is an interprime number because it is at equal distance from previous prime (13346255981) and next prime (13346256019).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85007922 + ... + 85008078.

It is an arithmetic number, because the mean of its divisors is an integer number (56567160).

Almost surely, 2^13346256000 is an apocalyptic number.

13346256000 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 13346256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28962385920).

13346256000 is an abundant number, since it is smaller than the sum of its proper divisors (44578515840).

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

13346256000 is a wasteful number, since it uses less digits than its factorization.

13346256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 13346256000 in words is "thirteen billion, three hundred forty-six million, two hundred fifty-six thousand".