1415645456481 has 81 divisors (see below), whose sum is σ = 2187810270009. Its totient is φ = 915943523616.

The previous prime is 1415645456453. The next prime is 1415645456507. The reversal of 1415645456481 is 1846545465141.

The square root of 1415645456481 is 1189809.

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

1415645456481 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 64 + 54 + 56 + 481 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 489662658081 + 925982798400 = 699759^2 + 962280^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 1415645456481 - 2¹⁹ = 1415644932193 is a prime.

It is a super-2 number, since 2×1415645456481² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1415645456441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3565857375 + ... + 3565857771.

Almost surely, 2^{1415645456481} is an apocalyptic number.

1415645456481 is the 1189809-th square number.

1415645456481 is the 594905-th centered octagonal number.

It is an amenable number.

1415645456481 is a deficient number, since it is larger than the sum of its proper divisors (772164813528).

1415645456481 is an frugal number, since it uses more digits than its factorization.

1415645456481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 437 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 1415645456481 in words is "one trillion, four hundred fifteen billion, six hundred forty-five million, four hundred fifty-six thousand, four hundred eighty-one".