32741854575136 has 96 divisors (see below), whose sum is σ = 74163977395200. Its totient is φ = 13938207446016.

The previous prime is 32741854575061. The next prime is 32741854575151. The reversal of 32741854575136 is 63157545814723.

It is a happy number.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 26445265 + ... + 27655663.

It is an arithmetic number, because the mean of its divisors is an integer number (772541431200).

Almost surely, 2^{32741854575136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32741854575136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37081988697600).

32741854575136 is an abundant number, since it is smaller than the sum of its proper divisors (41422122820064).

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

32741854575136 is a wasteful number, since it uses less digits than its factorization.

32741854575136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211226 (or 1211218 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 61.

The spelling of 32741854575136 in words is "thirty-two trillion, seven hundred forty-one billion, eight hundred fifty-four million, five hundred seventy-five thousand, one hundred thirty-six".