12458133504 has 96 divisors (see below), whose sum is σ = 36904140000. Its totient is φ = 4152692736.

The previous prime is 12458133491. The next prime is 12458133509. The reversal of 12458133504 is 40533185421.

12458133504 is a `hidden beast` number, since 1 + 2 + 45 + 81 + 33 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (12458133509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57354 + ... + 167945.

It is an arithmetic number, because the mean of its divisors is an integer number (384418125).

Almost surely, 2^12458133504 is an apocalyptic number.

It is an amenable number.

12458133504 is an abundant number, since it is smaller than the sum of its proper divisors (24446006496).

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

12458133504 is an equidigital number, since it uses as much as digits as its factorization.

12458133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225330 (or 225304 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12458133504 in words is "twelve billion, four hundred fifty-eight million, one hundred thirty-three thousand, five hundred four".