12450896640 has 1152 divisors, whose sum is σ = 56371230720. Its totient is φ = 2532114432.

The previous prime is 12450896621. The next prime is 12450896651. The reversal of 12450896640 is 4669805421.

12450896640 is a `hidden beast` number, since 12 + 4 + 508 + 96 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116363467 + ... + 116363573.

It is an arithmetic number, because the mean of its divisors is an integer number (48933360).

Almost surely, 2^12450896640 is an apocalyptic number.

12450896640 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 12450896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28185615360).

12450896640 is an abundant number, since it is smaller than the sum of its proper divisors (43920334080).

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

12450896640 is a wasteful number, since it uses less digits than its factorization.

12450896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12450896640 in words is "twelve billion, four hundred fifty million, eight hundred ninety-six thousand, six hundred forty".