1479748169601 has 135 divisors (see below), whose sum is σ = 2468831592843. Its totient is φ = 882850026240.

The previous prime is 1479748169567. The next prime is 1479748169639. The reversal of 1479748169601 is 1069618479741.

The square root of 1479748169601 is 1216449.

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

1479748169601 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 7 + 4 + 8 + 16 + 9 + 601 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 392816816001 + 1086931353600 = 626751^2 + 1042560^2 .

It is not a de Polignac number, because 1479748169601 - 2²⁷ = 1479613951873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1479748169651) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5266007581 + ... + 5266007861.

Almost surely, 2^{1479748169601} is an apocalyptic number.

1479748169601 is the 1216449-th square number.

1479748169601 is the 608225-th centered octagonal number.

It is an amenable number.

1479748169601 is a deficient number, since it is larger than the sum of its proper divisors (989083423242).

1479748169601 is an frugal number, since it uses more digits than its factorization.

1479748169601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 1479748169601 in words is "one trillion, four hundred seventy-nine billion, seven hundred forty-eight million, one hundred sixty-nine thousand, six hundred one".