12481750736640 has 288 divisors, whose sum is σ = 45128600677440. Its totient is φ = 3265665122304.

The previous prime is 12481750736617. The next prime is 12481750736641. The reversal of 12481750736640 is 4663705718421.

12481750736640 is a `hidden beast` number, since 1 + 2 + 48 + 1 + 7 + 507 + 36 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12481750736640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12481750736641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1575507 + ... + 5238866.

It is an arithmetic number, because the mean of its divisors is an integer number (156696530130).

Almost surely, 2^{12481750736640} is an apocalyptic number.

12481750736640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12481750736640 is an abundant number, since it is smaller than the sum of its proper divisors (32646849940800).

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

12481750736640 is an equidigital number, since it uses as much as digits as its factorization.

12481750736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6814456 (or 6814436 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 12481750736640 in words is "twelve trillion, four hundred eighty-one billion, seven hundred fifty million, seven hundred thirty-six thousand, six hundred forty".