13734436445400 has 192 divisors, whose sum is σ = 49179565342080. Its totient is φ = 3133703833600.

The previous prime is 13734436445381. The next prime is 13734436445413. The reversal of 13734436445400 is 454463443731.

It is a self number, because there is not a number n which added to its sum of digits gives 13734436445400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61092954 + ... + 61317353.

It is an arithmetic number, because the mean of its divisors is an integer number (256143569490).

Almost surely, 2^{13734436445400} is an apocalyptic number.

13734436445400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13734436445400 is an abundant number, since it is smaller than the sum of its proper divisors (35445128896680).

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

13734436445400 is a wasteful number, since it uses less digits than its factorization.

13734436445400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122410354 (or 122410345 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 48.

The spelling of 13734436445400 in words is "thirteen trillion, seven hundred thirty-four billion, four hundred thirty-six million, four hundred forty-five thousand, four hundred".