1254432106368 has 960 divisors, whose sum is σ = 4622462095680. Its totient is φ = 335544975360.

The previous prime is 1254432106363. The next prime is 1254432106373. The reversal of 1254432106368 is 8636012344521.

1254432106368 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 4 + 3 + 2 + 1 + 0 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1254432106363) and next prime (1254432106373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254432106363) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2910515113 + ... + 2910515543.

It is an arithmetic number, because the mean of its divisors is an integer number (4815064683).

Almost surely, 2^{1254432106368} is an apocalyptic number.

1254432106368 is a gapful number since it is divisible by the number (18) 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 1254432106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311231047840).

1254432106368 is an abundant number, since it is smaller than the sum of its proper divisors (3368029989312).

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

1254432106368 is a wasteful number, since it uses less digits than its factorization.

1254432106368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1254432106368 in words is "one trillion, two hundred fifty-four billion, four hundred thirty-two million, one hundred six thousand, three hundred sixty-eight".