13468896000 has 1152 divisors, whose sum is σ = 60609669120. Its totient is φ = 2875392000.

The previous prime is 13468895971. The next prime is 13468896011. The reversal of 13468896000 is 69886431.

13468896000 is a `hidden beast` number, since 1 + 34 + 6 + 8 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×13468896000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102815935 + ... + 102816065.

It is an arithmetic number, because the mean of its divisors is an integer number (52612560).

Almost surely, 2^13468896000 is an apocalyptic number.

13468896000 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 13468896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30304834560).

13468896000 is an abundant number, since it is smaller than the sum of its proper divisors (47140773120).

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

13468896000 is a wasteful number, since it uses less digits than its factorization.

13468896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13468896000 in words is "thirteen billion, four hundred sixty-eight million, eight hundred ninety-six thousand".