32131123605504 has 1248 divisors, whose sum is σ = 117798479884800. Its totient is φ = 8196760535040.

The previous prime is 32131123605491. The next prime is 32131123605571. The reversal of 32131123605504 is 40550632113123.

32131123605504 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 112 + 36 + 0 + 5 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48757395127 + ... + 48757395785.

It is an arithmetic number, because the mean of its divisors is an integer number (94389807600).

Almost surely, 2^{32131123605504} 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 32131123605504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58899239942400).

32131123605504 is an abundant number, since it is smaller than the sum of its proper divisors (85667356279296).

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

32131123605504 is a wasteful number, since it uses less digits than its factorization.

32131123605504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 32131123605504 its reverse (40550632113123), we get a palindrome (72681755718627).

The spelling of 32131123605504 in words is "thirty-two trillion, one hundred thirty-one billion, one hundred twenty-three million, six hundred five thousand, five hundred four".