12451240944 has 200 divisors, whose sum is σ = 37898303520. Its totient is φ = 3940876800.

The previous prime is 12451240897. The next prime is 12451240951. The reversal of 12451240944 is 44904215421.

12451240944 is a `hidden beast` number, since 1 + 245 + 1 + 2 + 409 + 4 + 4 = 666.

It is a super-2 number, since 2×12451240944² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12451240899 and 12451240908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2289909 + ... + 2295339.

Almost surely, 2^12451240944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12451240944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18949151760).

12451240944 is an abundant number, since it is smaller than the sum of its proper divisors (25447062576).

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

12451240944 is a wasteful number, since it uses less digits than its factorization.

12451240944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12451240944 in words is "twelve billion, four hundred fifty-one million, two hundred forty thousand, nine hundred forty-four".