14257541639056 has 135 divisors (see below), whose sum is σ = 29328935793651. Its totient is φ = 6714001550592.

The previous prime is 14257541639053. The next prime is 14257541639071. The reversal of 14257541639056 is 65093614575241.

The square root of 14257541639056 is 3775916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 290758208400 + 13966783430656 = 539220^2 + 3737216^2 .

It is a super-2 number, since 2×14257541639056² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14257541639053) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18834268630 + ... + 18834269386.

Almost surely, 2^{14257541639056} is an apocalyptic number.

14257541639056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14257541639056 is the 3775916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14257541639056

14257541639056 is an abundant number, since it is smaller than the sum of its proper divisors (15071394154595).

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

14257541639056 is an frugal number, since it uses more digits than its factorization.

14257541639056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 58.

The spelling of 14257541639056 in words is "fourteen trillion, two hundred fifty-seven billion, five hundred forty-one million, six hundred thirty-nine thousand, fifty-six".