364778552961 has 27 divisors (see below), whose sum is σ = 532068740931. Its totient is φ = 240824183184.

The previous prime is 364778552959. The next prime is 364778553049. The reversal of 364778552961 is 169255877463.

The square root of 364778552961 is 603969.

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

364778552961 is a `hidden beast` number, since 3 + 6 + 4 + 7 + 78 + 552 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 254248901361 + 110529651600 = 504231^2 + 332460^2 .

It is not a de Polignac number, because 364778552961 - 2¹ = 364778552959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (364778552911) 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, 197496940 + ... + 197498786.

Almost surely, 2^364778552961 is an apocalyptic number.

364778552961 is the 603969-th square number.

364778552961 is the 301985-th centered octagonal number.

It is an amenable number.

364778552961 is a deficient number, since it is larger than the sum of its proper divisors (167290187970).

364778552961 is an frugal number, since it uses more digits than its factorization.

364778552961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 1959 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 364778552961 in words is "three hundred sixty-four billion, seven hundred seventy-eight million, five hundred fifty-two thousand, nine hundred sixty-one".