364363405601 has 8 divisors (see below), whose sum is σ = 392401146984. Its totient is φ = 336327062400.

The previous prime is 364363405589. The next prime is 364363405613. The reversal of 364363405601 is 106504363463.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (364363405589) and next prime (364363405613).

It can be written as a sum of positive squares in 4 ways, for example, as 125609992225 + 238753413376 = 354415^2 + 488624^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 364363405601 - 2¹⁸ = 364363143457 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (364363405691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226925 + ... + 883301.

It is an arithmetic number, because the mean of its divisors is an integer number (49050143373).

Almost surely, 2^364363405601 is an apocalyptic number.

It is an amenable number.

364363405601 is a deficient number, since it is larger than the sum of its proper divisors (28037741383).

364363405601 is a wasteful number, since it uses less digits than its factorization.

364363405601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699091.

The product of its (nonzero) digits is 466560, while the sum is 41.

The spelling of 364363405601 in words is "three hundred sixty-four billion, three hundred sixty-three million, four hundred five thousand, six hundred one".