1961614358901 has 20 divisors (see below), whose sum is σ = 2978350730124. Its totient is φ = 1286304494400.

The previous prime is 1961614358857. The next prime is 1961614358911. The reversal of 1961614358901 is 1098534161691.

1961614358901 is a `hidden beast` number, since 1 + 9 + 6 + 16 + 1 + 43 + 589 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1153411560900 + 808202798001 = 1073970^2 + 899001^2 .

It is not a de Polignac number, because 1961614358901 - 2¹⁴ = 1961614342517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961614358911) 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 19 ways as a sum of consecutive naturals, for example, 198498840 + ... + 198508721.

Almost surely, 2^{1961614358901} is an apocalyptic number.

It is an amenable number.

1961614358901 is a deficient number, since it is larger than the sum of its proper divisors (1016736371223).

1961614358901 is an equidigital number, since it uses as much as digits as its factorization.

1961614358901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397007634 (or 397007625 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1961614358901 in words is "one trillion, nine hundred sixty-one billion, six hundred fourteen million, three hundred fifty-eight thousand, nine hundred one".