14457477475441 has 128 divisors (see below), whose sum is σ = 19802622615552. Its totient is φ = 10276779744000.

The previous prime is 14457477475411. The next prime is 14457477475471.

14457477475441 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (14457477475411) and next prime (14457477475471).

It is not a de Polignac number, because 14457477475441 - 2⁵ = 14457477475409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14457477475411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11095530796 + ... + 11095532098.

It is an arithmetic number, because the mean of its divisors is an integer number (154707989184).

Almost surely, 2^{14457477475441} is an apocalyptic number.

14457477475441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14457477475441 is a deficient number, since it is larger than the sum of its proper divisors (5345145140111).

14457477475441 is a wasteful number, since it uses less digits than its factorization.

14457477475441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2342 counting only the distinct ones).

The product of its digits is 245862400, while the sum is 64.

The spelling of 14457477475441 in words is "fourteen trillion, four hundred fifty-seven billion, four hundred seventy-seven million, four hundred seventy-five thousand, four hundred forty-one".