1349962810641 has 27 divisors (see below), whose sum is σ = 1959015557577. Its totient is φ = 895808709000.

The previous prime is 1349962810601. The next prime is 1349962810661. The reversal of 1349962810641 is 1460182699431.

The square root of 1349962810641 is 1161879.

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

1349962810641 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 9 + 628 + 1 + 0 + 6 + 4 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-1349962810641 is a prime.

It is a super-3 number, since 3×1349962810641³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1349962810601) 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, 874894116 + ... + 874895658.

Almost surely, 2^{1349962810641} is an apocalyptic number.

1349962810641 is the 1161879-th square number.

1349962810641 is the 580940-th centered octagonal number.

It is an amenable number.

1349962810641 is a deficient number, since it is larger than the sum of its proper divisors (609052746936).

1349962810641 is an frugal number, since it uses more digits than its factorization.

1349962810641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1349962810641 in words is "one trillion, three hundred forty-nine billion, nine hundred sixty-two million, eight hundred ten thousand, six hundred forty-one".