1361769968601 has 45 divisors (see below), whose sum is σ = 2366499005541. Its totient is φ = 778112257608.

The previous prime is 1361769968561. The next prime is 1361769968641. The reversal of 1361769968601 is 1068699671631.

The square root of 1361769968601 is 1166949.

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

1361769968601 is a `hidden beast` number, since 1 + 3 + 6 + 17 + 6 + 9 + 9 + 6 + 8 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (1361769968561) and next prime (1361769968641).

It is not a de Polignac number, because 1361769968601 - 2¹⁷ = 1361769837529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1361769968641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 73508526 + ... + 73527048.

Almost surely, 2^{1361769968601} is an apocalyptic number.

1361769968601 is the 1166949-th square number.

1361769968601 is the 583475-th centered octagonal number.

It is an amenable number.

1361769968601 is a deficient number, since it is larger than the sum of its proper divisors (1004729036940).

1361769968601 is an frugal number, since it uses more digits than its factorization.

1361769968601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37072 (or 18533 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 1361769968601 in words is "one trillion, three hundred sixty-one billion, seven hundred sixty-nine million, nine hundred sixty-eight thousand, six hundred one".