13747140406032 has 160 divisors (see below), whose sum is σ = 40629528115200. Its totient is φ = 3964654172160.

The previous prime is 13747140406003. The next prime is 13747140406073. The reversal of 13747140406032 is 23060404174731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427593 + ... + 5260904.

It is an arithmetic number, because the mean of its divisors is an integer number (253934550720).

Almost surely, 2^{13747140406032} is an apocalyptic number.

13747140406032 is a gapful number since it is divisible by the number (12) 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 13747140406032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20314764057600).

13747140406032 is an abundant number, since it is smaller than the sum of its proper divisors (26882387709168).

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

13747140406032 is a wasteful number, since it uses less digits than its factorization.

13747140406032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688741 (or 5688735 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 13747140406032 in words is "thirteen trillion, seven hundred forty-seven billion, one hundred forty million, four hundred six thousand, thirty-two".