45501156100 has 81 divisors (see below), whose sum is σ = 100331840287. Its totient is φ = 17911214080.

The previous prime is 45501156083. The next prime is 45501156119. The reversal of 45501156100 is 165110554.

It is a happy number.

The square root of 45501156100 is 213310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11181370564 + 34319785536 = 105742^2 + 185256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 177047172 + ... + 177047428.

Almost surely, 2^45501156100 is an apocalyptic number.

45501156100 is the 213310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45501156100

45501156100 is an abundant number, since it is smaller than the sum of its proper divisors (54830684187).

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

45501156100 is an equidigital number, since it uses as much as digits as its factorization.

45501156100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

Adding to 45501156100 its reverse (165110554), we get a palindrome (45666266654).

It can be divided in two parts, 45501 and 156100, that added together give a square (201601 = 449²).

The spelling of 45501156100 in words is "forty-five billion, five hundred one million, one hundred fifty-six thousand, one hundred".