12464323451100 has 288 divisors, whose sum is σ = 41416139197440. Its totient is φ = 3213903329280.

The previous prime is 12464323451093. The next prime is 12464323451197. The reversal of 12464323451100 is 115432346421.

12464323451100 is a `hidden beast` number, since 1 + 2 + 4 + 643 + 2 + 3 + 4 + 5 + 1 + 1 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9941004 + ... + 11124396.

It is an arithmetic number, because the mean of its divisors is an integer number (143806038880).

Almost surely, 2^{12464323451100} is an apocalyptic number.

12464323451100 is a gapful number since it is divisible by the number (10) 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 12464323451100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20708069598720).

12464323451100 is an abundant number, since it is smaller than the sum of its proper divisors (28951815746340).

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

12464323451100 is a wasteful number, since it uses less digits than its factorization.

12464323451100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183546 (or 1183533 counting only the distinct ones).

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

Adding to 12464323451100 its reverse (115432346421), we get a palindrome (12579755797521).

The spelling of 12464323451100 in words is "twelve trillion, four hundred sixty-four billion, three hundred twenty-three million, four hundred fifty-one thousand, one hundred".