12345541540 has 24 divisors (see below), whose sum is σ = 26155072440. Its totient is φ = 4894514688.

The previous prime is 12345541501. The next prime is 12345541561. The reversal of 12345541540 is 4514554321.

It can be written as a sum of positive squares in 4 ways, for example, as 1409401764 + 10936139776 = 37542^2 + 104576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12345541496 and 12345541505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2729055 + ... + 2733574.

It is an arithmetic number, because the mean of its divisors is an integer number (1089794685).

Almost surely, 2^12345541540 is an apocalyptic number.

12345541540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12345541540 is an abundant number, since it is smaller than the sum of its proper divisors (13809530900).

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

12345541540 is a wasteful number, since it uses less digits than its factorization.

12345541540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462751 (or 5462749 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 12345541540 in words is "twelve billion, three hundred forty-five million, five hundred forty-one thousand, five hundred forty".