13494912000 has 352 divisors, whose sum is σ = 45432002304. Its totient is φ = 3555328000.

The previous prime is 13494911957. The next prime is 13494912017. The reversal of 13494912000 is 21949431.

It is a super-2 number, since 2×13494912000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 43391845 + ... + 43392155.

Almost surely, 2^13494912000 is an apocalyptic number.

13494912000 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 13494912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22716001152).

13494912000 is an abundant number, since it is smaller than the sum of its proper divisors (31937090304).

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

13494912000 is a wasteful number, since it uses less digits than its factorization.

13494912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 13494912000 in words is "thirteen billion, four hundred ninety-four million, nine hundred twelve thousand".