868290376041 has 135 divisors (see below), whose sum is σ = 1475305337415. Its totient is φ = 492001488000.

The previous prime is 868290376027. The next prime is 868290376061. The reversal of 868290376041 is 140673092868.

The square root of 868290376041 is 931821.

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

868290376041 is a `hidden beast` number, since 8 + 6 + 8 + 29 + 0 + 3 + 7 + 604 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 676004618025 + 192285758016 = 822195^2 + 438504^2 .

It is not a de Polignac number, because 868290376041 - 2¹³ = 868290367849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (868290376061) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5750267316 + ... + 5750267466.

Almost surely, 2^868290376041 is an apocalyptic number.

868290376041 is the 931821-st square number.

868290376041 is the 465911-st centered octagonal number.

It is an amenable number.

868290376041 is a deficient number, since it is larger than the sum of its proper divisors (607014961374).

868290376041 is an equidigital number, since it uses as much as digits as its factorization.

868290376041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 868290376041 in words is "eight hundred sixty-eight billion, two hundred ninety million, three hundred seventy-six thousand, forty-one".