13729008466800 has 720 divisors, whose sum is σ = 55257953407488. Its totient is φ = 3123460454400.

The previous prime is 13729008466793. The next prime is 13729008466807. The reversal of 13729008466800 is 866480092731.

13729008466800 is a `hidden beast` number, since 13 + 7 + 2 + 90 + 0 + 8 + 466 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13729008466793) and next prime (13729008466807).

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13729008466807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48130197 + ... + 48414603.

Almost surely, 2^{13729008466800} is an apocalyptic number.

13729008466800 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 13729008466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27628976703744).

13729008466800 is an abundant number, since it is smaller than the sum of its proper divisors (41528944940688).

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

13729008466800 is a wasteful number, since it uses less digits than its factorization.

13729008466800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284518 (or 284504 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13729008466800 in words is "thirteen trillion, seven hundred twenty-nine billion, eight million, four hundred sixty-six thousand, eight hundred".