13735094400384 has 1024 divisors, whose sum is σ = 45651714048000. Its totient is φ = 3574546956288.

The previous prime is 13735094400371. The next prime is 13735094400413. The reversal of 13735094400384 is 48300449053731.

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 127 ways as a sum of consecutive naturals, for example, 19372488222 + ... + 19372488930.

It is an arithmetic number, because the mean of its divisors is an integer number (44581752000).

Almost surely, 2^{13735094400384} is an apocalyptic number.

13735094400384 is a gapful number since it is divisible by the number (14) 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 13735094400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22825857024000).

13735094400384 is an abundant number, since it is smaller than the sum of its proper divisors (31916619647616).

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

13735094400384 is a wasteful number, since it uses less digits than its factorization.

13735094400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 13735094400384 in words is "thirteen trillion, seven hundred thirty-five billion, ninety-four million, four hundred thousand, three hundred eighty-four".