8412374961 has 63 divisors (see below), whose sum is σ = 13078458729. Its totient is φ = 5408485992.

The previous prime is 8412374951. The next prime is 8412374987. The reversal of 8412374961 is 1694732148.

The square root of 8412374961 is 91719.

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

It is not a de Polignac number, because 8412374961 - 2⁷ = 8412374833 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8412374951) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 106485720 + ... + 106485798.

It is an arithmetic number, because the mean of its divisors is an integer number (207594583).

Almost surely, 2^8412374961 is an apocalyptic number.

8412374961 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8412374961 is the 91719-th square number.

8412374961 is the 45860-th centered octagonal number.

It is an amenable number.

8412374961 is a deficient number, since it is larger than the sum of its proper divisors (4666083768).

8412374961 is an frugal number, since it uses more digits than its factorization.

8412374961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 125 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The cubic root of 8412374961 is about 2033.7904670992.

The spelling of 8412374961 in words is "eight billion, four hundred twelve million, three hundred seventy-four thousand, nine hundred sixty-one".