32001134114004 has 96 divisors (see below), whose sum is σ = 82116560332800. Its totient is φ = 9619161538560.

The previous prime is 32001134113981. The next prime is 32001134114029. The reversal of 32001134114004 is 40041143110023.

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 31 ways as a sum of consecutive naturals, for example, 6134367 + ... + 10081305.

It is an arithmetic number, because the mean of its divisors is an integer number (855380836800).

Almost surely, 2^{32001134114004} 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 32001134114004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41058280166400).

32001134114004 is an abundant number, since it is smaller than the sum of its proper divisors (50115426218796).

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

32001134114004 is a wasteful number, since it uses less digits than its factorization.

32001134114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947453 (or 3947451 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 32001134114004 its reverse (40041143110023), we get a palindrome (72042277224027).

The spelling of 32001134114004 in words is "thirty-two trillion, one billion, one hundred thirty-four million, one hundred fourteen thousand, four".