126233253504 has 192 divisors, whose sum is σ = 367707225600. Its totient is φ = 41563514880.

The previous prime is 126233253491. The next prime is 126233253541. The reversal of 126233253504 is 405352332621.

126233253504 is a `hidden beast` number, since 1 + 2 + 623 + 3 + 25 + 3 + 5 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56835114 + ... + 56837334.

It is an arithmetic number, because the mean of its divisors is an integer number (1915141800).

Almost surely, 2^126233253504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126233253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183853612800).

126233253504 is an abundant number, since it is smaller than the sum of its proper divisors (241473972096).

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

126233253504 is a wasteful number, since it uses less digits than its factorization.

126233253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 126233253504 in words is "one hundred twenty-six billion, two hundred thirty-three million, two hundred fifty-three thousand, five hundred four".