12478734450 has 480 divisors, whose sum is σ = 43607625600. Its totient is φ = 2629065600.

The previous prime is 12478734427. The next prime is 12478734497. The reversal of 12478734450 is 5443787421.

12478734450 is a `hidden beast` number, since 124 + 7 + 8 + 73 + 4 + 450 = 666.

12478734450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12478734396 and 12478734405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18058605 + ... + 18059295.

It is an arithmetic number, because the mean of its divisors is an integer number (90849220).

Almost surely, 2^12478734450 is an apocalyptic number.

12478734450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12478734450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21803812800).

12478734450 is an abundant number, since it is smaller than the sum of its proper divisors (31128891150).

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

12478734450 is a wasteful number, since it uses less digits than its factorization.

12478734450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 12478734450 in words is "twelve billion, four hundred seventy-eight million, seven hundred thirty-four thousand, four hundred fifty".