32241054132032 has 56 divisors (see below), whose sum is σ = 65577147478920. Its totient is φ = 15718138634240.

The previous prime is 32241054131977. The next prime is 32241054132103. The reversal of 32241054132032 is 23023145014223.

It can be written as a sum of positive squares in 4 ways, for example, as 727022254336 + 31514031877696 = 852656^2 + 5613736^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 32241054132032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 889628 + ... + 8079204.

It is an arithmetic number, because the mean of its divisors is an integer number (1171020490695).

Almost surely, 2^{32241054132032} is an apocalyptic number.

32241054132032 is a gapful number since it is divisible by the number (32) 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 32241054132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32788573739460).

32241054132032 is an abundant number, since it is smaller than the sum of its proper divisors (33336093346888).

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

32241054132032 is a wasteful number, since it uses less digits than its factorization.

32241054132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191339 (or 7191329 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 32241054132032 its reverse (23023145014223), we get a palindrome (55264199146255).

The spelling of 32241054132032 in words is "thirty-two trillion, two hundred forty-one billion, fifty-four million, one hundred thirty-two thousand, thirty-two".