14312748625920 has 1040 divisors, whose sum is σ = 54487635491520. Its totient is φ = 3581524574208.

The previous prime is 14312748625897. The next prime is 14312748625927. The reversal of 14312748625920 is 2952684721341.

It is a happy number.

14312748625920 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 2 + 7 + 4 + 8 + 625 + 9 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14312748625927) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 14185082376 + ... + 14185083384.

It is a 1-persistent number, because it is pandigital, but 2⋅14312748625920 = 28625497251840 is not.

Almost surely, 2^{14312748625920} is an apocalyptic number.

14312748625920 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 14312748625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27243817745760).

14312748625920 is an abundant number, since it is smaller than the sum of its proper divisors (40174886865600).

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

14312748625920 is a wasteful number, since it uses less digits than its factorization.

14312748625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 14312748625920 in words is "fourteen trillion, three hundred twelve billion, seven hundred forty-eight million, six hundred twenty-five thousand, nine hundred twenty".