14457442887460 has 48 divisors (see below), whose sum is σ = 30422711419632. Its totient is φ = 5771163238400.

The previous prime is 14457442887449. The next prime is 14457442887463. The reversal of 14457442887460 is 6478824475441.

14457442887460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1433153756736 + 13024289130724 = 1197144^2 + 3608918^2 .

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14457442887392 and 14457442887401.

It is not an unprimeable number, because it can be changed into a prime (14457442887463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20551140 + ... + 21242980.

It is an arithmetic number, because the mean of its divisors is an integer number (633806487909).

Almost surely, 2^{14457442887460} is an apocalyptic number.

14457442887460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14457442887460 is an abundant number, since it is smaller than the sum of its proper divisors (15965268532172).

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

14457442887460 is a wasteful number, since it uses less digits than its factorization.

14457442887460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693984 (or 693982 counting only the distinct ones).

The product of its (nonzero) digits is 192675840, while the sum is 64.

The spelling of 14457442887460 in words is "fourteen trillion, four hundred fifty-seven billion, four hundred forty-two million, eight hundred eighty-seven thousand, four hundred sixty".