126455906304 has 912 divisors, whose sum is σ = 488551598080. Its totient is φ = 30576476160.

The previous prime is 126455906299. The next prime is 126455906347. The reversal of 126455906304 is 403609554621.

126455906304 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 5 + 5 + 9 + 0 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (912).

It is a self number, because there is not a number n which added to its sum of digits gives 126455906304.

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, 4079222769 + ... + 4079222799.

Almost surely, 2^126455906304 is an apocalyptic number.

126455906304 is a gapful number since it is divisible by the number (14) 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 126455906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244275799040).

126455906304 is an abundant number, since it is smaller than the sum of its proper divisors (362095691776).

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

126455906304 is an equidigital number, since it uses as much as digits as its factorization.

126455906304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 126455906304 in words is "one hundred twenty-six billion, four hundred fifty-five million, nine hundred six thousand, three hundred four".