12545514400 has 144 divisors (see below), whose sum is σ = 31109180760. Its totient is φ = 4939776000.

The previous prime is 12545514391. The next prime is 12545514413. The reversal of 12545514400 is 441554521.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 278622864 + 12266891536 = 16692^2 + 110756^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20874100 + ... + 20874700.

Almost surely, 2^12545514400 is an apocalyptic number.

12545514400 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 12545514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554590380).

12545514400 is an abundant number, since it is smaller than the sum of its proper divisors (18563666360).

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

12545514400 is a wasteful number, since it uses less digits than its factorization.

12545514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 12545514400 in words is "twelve billion, five hundred forty-five million, five hundred fourteen thousand, four hundred".