12358894464 has 768 divisors, whose sum is σ = 46339905600. Its totient is φ = 3260694528.

The previous prime is 12358894439. The next prime is 12358894507. The reversal of 12358894464 is 46449885321.

12358894464 is a `hidden beast` number, since 12 + 3 + 5 + 88 + 94 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12358894464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233186662 + ... + 233186714.

Almost surely, 2^12358894464 is an apocalyptic number.

12358894464 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 12358894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23169952800).

12358894464 is an abundant number, since it is smaller than the sum of its proper divisors (33981011136).

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

12358894464 is an frugal number, since it uses more digits than its factorization.

12358894464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 12358894464 in words is "twelve billion, three hundred fifty-eight million, eight hundred ninety-four thousand, four hundred sixty-four".