13450694400 has 1296 divisors, whose sum is σ = 59783173632. Its totient is φ = 2838528000.

The previous prime is 13450694357. The next prime is 13450694417. The reversal of 13450694400 is 449605431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 189446365 + ... + 189446435.

It is an arithmetic number, because the mean of its divisors is an integer number (46128992).

Almost surely, 2^13450694400 is an apocalyptic number.

13450694400 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 13450694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29891586816).

13450694400 is an abundant number, since it is smaller than the sum of its proper divisors (46332479232).

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

13450694400 is a wasteful number, since it uses less digits than its factorization.

13450694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13450694400 in words is "thirteen billion, four hundred fifty million, six hundred ninety-four thousand, four hundred".