111630828544 has 99 divisors (see below), whose sum is σ = 228602902927. Its totient is φ = 54484312064.

The previous prime is 111630828541. The next prime is 111630828553. The reversal of 111630828544 is 445828036111.

The square root of 111630828544 is 334112.

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 65388626944 + 46242201600 = 255712^2 + 215040^2 .

It is a super-2 number, since 2×111630828544² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111630828544.

It is not an unprimeable number, because it can be changed into a prime (111630828541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 566653854 + ... + 566654050.

Almost surely, 2^111630828544 is an apocalyptic number.

111630828544 is the 334112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111630828544

111630828544 is an abundant number, since it is smaller than the sum of its proper divisors (116972074383).

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

111630828544 is an frugal number, since it uses more digits than its factorization.

111630828544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 111630828544 in words is "one hundred eleven billion, six hundred thirty million, eight hundred twenty-eight thousand, five hundred forty-four".