126835946496 has 528 divisors, whose sum is σ = 439870495680. Its totient is φ = 35997696000.

The previous prime is 126835946449. The next prime is 126835946521. The reversal of 126835946496 is 694649538621.

126835946496 is a `hidden beast` number, since 1 + 2 + 6 + 83 + 5 + 9 + 464 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340042566 + ... + 340042938.

It is an arithmetic number, because the mean of its divisors is an integer number (833088060).

Almost surely, 2^126835946496 is an apocalyptic number.

126835946496 is a gapful number since it is divisible by the number (16) 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 126835946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219935247840).

126835946496 is an abundant number, since it is smaller than the sum of its proper divisors (313034549184).

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

126835946496 is a wasteful number, since it uses less digits than its factorization.

126835946496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 636 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 126835946496 in words is "one hundred twenty-six billion, eight hundred thirty-five million, nine hundred forty-six thousand, four hundred ninety-six".