12251064915648 has 280 divisors, whose sum is σ = 39121795426560. Its totient is φ = 3768376504320.

The previous prime is 12251064915611. The next prime is 12251064915743. The reversal of 12251064915648 is 84651946015221.

It is a happy number.

12251064915648 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 10 + 64 + 9 + 1 + 564 + 8 = 666.

It is a super-3 number, since 3×12251064915648³ (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12251064915594 and 12251064915603.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 228499468 + ... + 228553076.

It is an arithmetic number, because the mean of its divisors is an integer number (139720697952).

Almost surely, 2^{12251064915648} is an apocalyptic number.

12251064915648 is a gapful number since it is divisible by the number (18) 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 12251064915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19560897713280).

12251064915648 is an abundant number, since it is smaller than the sum of its proper divisors (26870730510912).

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

12251064915648 is a wasteful number, since it uses less digits than its factorization.

12251064915648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57037 (or 57018 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 12251064915648 in words is "twelve trillion, two hundred fifty-one billion, sixty-four million, nine hundred fifteen thousand, six hundred forty-eight".