12454612632 has 576 divisors, whose sum is σ = 45646848000. Its totient is φ = 3040571520.

The previous prime is 12454612627. The next prime is 12454612637. The reversal of 12454612632 is 23621645421.

12454612632 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 4 + 6 + 12 + 632 = 666.

12454612632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12454612627) and next prime (12454612637).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12454612637) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 98067753 + ... + 98067879.

It is an arithmetic number, because the mean of its divisors is an integer number (79248000).

Almost surely, 2^12454612632 is an apocalyptic number.

12454612632 is a gapful number since it is divisible by the number (12) 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 12454612632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823424000).

12454612632 is an abundant number, since it is smaller than the sum of its proper divisors (33192235368).

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

12454612632 is a wasteful number, since it uses less digits than its factorization.

12454612632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 169 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 12454612632 in words is "twelve billion, four hundred fifty-four million, six hundred twelve thousand, six hundred thirty-two".