14445374976 has 320 divisors, whose sum is σ = 44193600000. Its totient is φ = 4656807936.

The previous prime is 14445374971. The next prime is 14445374981. The reversal of 14445374976 is 67947354441.

14445374976 is a `hidden beast` number, since 14 + 4 + 4 + 537 + 4 + 97 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (14445374971) and next prime (14445374981).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14445374971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72589725 + ... + 72589923.

It is an arithmetic number, because the mean of its divisors is an integer number (138105000).

Almost surely, 2^14445374976 is an apocalyptic number.

14445374976 is a gapful number since it is divisible by the number (16) 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 14445374976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22096800000).

14445374976 is an abundant number, since it is smaller than the sum of its proper divisors (29748225024).

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

14445374976 is an equidigital number, since it uses as much as digits as its factorization.

14445374976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 352 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 14445374976 in words is "fourteen billion, four hundred forty-five million, three hundred seventy-four thousand, nine hundred seventy-six".