45600284138752 has 108 divisors (see below), whose sum is σ = 105890589492996. Its totient is φ = 19541624094720.

The previous prime is 45600284138699. The next prime is 45600284138767. The reversal of 45600284138752 is 25783148200654.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39565911540736 + 6034372598016 = 6290144^2 + 2456496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45600284138693 and 45600284138702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192570058 + ... + 192806710.

Almost surely, 2^{45600284138752} 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 45600284138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52945294746498).

45600284138752 is an abundant number, since it is smaller than the sum of its proper divisors (60290305354244).

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

45600284138752 is a wasteful number, since it uses less digits than its factorization.

45600284138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252044 (or 252023 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 45600284138752 in words is "forty-five trillion, six hundred billion, two hundred eighty-four million, one hundred thirty-eight thousand, seven hundred fifty-two".