13445966400 has 336 divisors, whose sum is σ = 47860061760. Its totient is φ = 3291545600.

The previous prime is 13445966393. The next prime is 13445966407. The reversal of 13445966400 is 466954431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13445966393) and next prime (13445966407).

It is not an unprimeable number, because it can be changed into a prime (13445966407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3343591 + ... + 3347609.

It is an arithmetic number, because the mean of its divisors is an integer number (142440660).

Almost surely, 2^13445966400 is an apocalyptic number.

13445966400 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 13445966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23930030880).

13445966400 is an abundant number, since it is smaller than the sum of its proper divisors (34414095360).

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

13445966400 is a wasteful number, since it uses less digits than its factorization.

13445966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 13445966400 in words is "thirteen billion, four hundred forty-five million, nine hundred sixty-six thousand, four hundred".