359461401601 has 3 divisors (see below), whose sum is σ = 359462001153. Its totient is φ = 359460802050.

The previous prime is 359461401589. The next prime is 359461401631. The reversal of 359461401601 is 106104164953.

The square root of 359461401601 is 599551.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 106104164953 = 7129 ⋅14883457.

It is not a de Polignac number, because 359461401601 - 2²³ = 359453012993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (359461401631) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 299776 + ... + 899326.

It is an arithmetic number, because the mean of its divisors is an integer number (119820667051).

Almost surely, 2^359461401601 is an apocalyptic number.

359461401601 is the 599551-st square number.

359461401601 is the 299776-th centered octagonal number.

It is an amenable number.

359461401601 is a deficient number, since it is larger than the sum of its proper divisors (599552).

359461401601 is an frugal number, since it uses more digits than its factorization.

359461401601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199102 (or 599551 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 359461401601 in words is "three hundred fifty-nine billion, four hundred sixty-one million, four hundred one thousand, six hundred one".