126354754656 has 384 divisors, whose sum is σ = 402704547840. Its totient is φ = 38313160704.

The previous prime is 126354754639. The next prime is 126354754667. The reversal of 126354754656 is 656457453621.

126354754656 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 5 + 47 + 546 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 403689156 + ... + 403689468.

It is an arithmetic number, because the mean of its divisors is an integer number (1048709760).

Almost surely, 2^126354754656 is an apocalyptic number.

126354754656 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 126354754656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201352273920).

126354754656 is an abundant number, since it is smaller than the sum of its proper divisors (276349793184).

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

126354754656 is a wasteful number, since it uses less digits than its factorization.

126354754656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 741 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 126354754656 in words is "one hundred twenty-six billion, three hundred fifty-four million, seven hundred fifty-four thousand, six hundred fifty-six".