12345511465100 has 144 divisors (see below), whose sum is σ = 30264756369120. Its totient is φ = 4329915340800.

The previous prime is 12345511465097. The next prime is 12345511465151. The reversal of 12345511465100 is 156411554321.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30197654 + ... + 30603746.

It is an arithmetic number, because the mean of its divisors is an integer number (210171919230).

Almost surely, 2^{12345511465100} is an apocalyptic number.

12345511465100 is a gapful number since it is divisible by the number (10) 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 12345511465100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15132378184560).

12345511465100 is an abundant number, since it is smaller than the sum of its proper divisors (17919244904020).

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

12345511465100 is a wasteful number, since it uses less digits than its factorization.

12345511465100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407100 (or 407093 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

The spelling of 12345511465100 in words is "twelve trillion, three hundred forty-five billion, five hundred eleven million, four hundred sixty-five thousand, one hundred".