126432423936 has 832 divisors, whose sum is σ = 488786457600. Its totient is φ = 31340888064.

The previous prime is 126432423913. The next prime is 126432423941. The reversal of 126432423936 is 639324234621.

126432423936 is a `hidden beast` number, since 1 + 2 + 64 + 324 + 239 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126432423891 and 126432423900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171085455 + ... + 171086193.

Almost surely, 2^126432423936 is an apocalyptic number.

126432423936 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 126432423936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244393228800).

126432423936 is an abundant number, since it is smaller than the sum of its proper divisors (362354033664).

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

126432423936 is a wasteful number, since it uses less digits than its factorization.

126432423936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 781 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 126432423936 in words is "one hundred twenty-six billion, four hundred thirty-two million, four hundred twenty-three thousand, nine hundred thirty-six".