3619814461561 has 15 divisors (see below), whose sum is σ = 3676809704491. Its totient is φ = 3563701640128.

The previous prime is 3619814461537. The next prime is 3619814461577. The reversal of 3619814461561 is 1651644189163.

The square root of 3619814461561 is 1902581.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1207073571561 + 2412740890000 = 1098669^2 + 1553300^2 .

It is not a de Polignac number, because 3619814461561 - 2²⁵ = 3619780907129 is a prime.

It is a super-2 number, since 2×3619814461561² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3619814461591) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24294056715 + ... + 24294056863.

Almost surely, 2^{3619814461561} is an apocalyptic number.

3619814461561 is the 1902581-st square number.

3619814461561 is the 951291-st centered octagonal number.

It is an amenable number.

3619814461561 is a deficient number, since it is larger than the sum of its proper divisors (56995242930).

3619814461561 is an frugal number, since it uses more digits than its factorization.

3619814461561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 262 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 55.

The spelling of 3619814461561 in words is "three trillion, six hundred nineteen billion, eight hundred fourteen million, four hundred sixty-one thousand, five hundred sixty-one".