462017918961 has 27 divisors (see below), whose sum is σ = 697707209017. Its totient is φ = 294590214600.

The previous prime is 462017918951. The next prime is 462017918969. The reversal of 462017918961 is 169819710264.

The square root of 462017918961 is 679719.

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

462017918961 is a `hidden beast` number, since 4 + 620 + 1 + 7 + 9 + 1 + 8 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 462017918961 - 2²⁷ = 461883701233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 462017918898 and 462017918907.

It is not an unprimeable number, because it can be changed into a prime (462017918969) 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, 46895686 + ... + 46905536.

Almost surely, 2^462017918961 is an apocalyptic number.

462017918961 is the 679719-th square number.

462017918961 is the 339860-th centered octagonal number.

It is an amenable number.

462017918961 is a deficient number, since it is larger than the sum of its proper divisors (235689290056).

462017918961 is an frugal number, since it uses more digits than its factorization.

462017918961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19754 (or 9877 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 462017918961 in words is "four hundred sixty-two billion, seventeen million, nine hundred eighteen thousand, nine hundred sixty-one".