361561845961 has 16 divisors (see below), whose sum is σ = 365942317696. Its totient is φ = 357210000000.

The previous prime is 361561845947. The next prime is 361561845973. The reversal of 361561845961 is 169548165163.

361561845961 = T₄₉₀₉₅₈ + T₄₉₀₉₅₉ + T₄₉₀₉₆₀.

It is a happy number.

It is a 7-Lehmer number, since φ(361561845961) divides (361561845961-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 361561845961 - 2⁵ = 361561845929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (361561845061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57378511 + ... + 57384811.

It is an arithmetic number, because the mean of its divisors is an integer number (22871394856).

Almost surely, 2^361561845961 is an apocalyptic number.

361561845961 is the 490960-th centered triangular number.

It is an amenable number.

361561845961 is a deficient number, since it is larger than the sum of its proper divisors (4380471735).

361561845961 is a wasteful number, since it uses less digits than its factorization.

361561845961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8464.

The product of its digits is 4665600, while the sum is 55.

The spelling of 361561845961 in words is "three hundred sixty-one billion, five hundred sixty-one million, eight hundred forty-five thousand, nine hundred sixty-one".