8876234448601 has 75 divisors (see below), whose sum is σ = 10387116568023. Its totient is φ = 7585062001920.

The previous prime is 8876234448581. The next prime is 8876234448647. The reversal of 8876234448601 is 1068444326788.

The square root of 8876234448601 is 2979301.

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

It can be written as a sum of positive squares in 37 ways, for example, as 720976201 + 8875513472400 = 26851^2 + 2979180^2 .

It is not a de Polignac number, because 8876234448601 - 2¹⁷ = 8876234317529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a self number, because there is not a number n which added to its sum of digits gives 8876234448601.

It is not an unprimeable number, because it can be changed into a prime (8876234448701) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 145512040111 + ... + 145512040171.

Almost surely, 2^{8876234448601} is an apocalyptic number.

8876234448601 is the 2979301-st square number.

8876234448601 is the 1489651-st centered octagonal number.

It is an amenable number.

8876234448601 is a deficient number, since it is larger than the sum of its proper divisors (1510882119422).

8876234448601 is an frugal number, since it uses more digits than its factorization.

8876234448601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 61.

The spelling of 8876234448601 in words is "eight trillion, eight hundred seventy-six billion, two hundred thirty-four million, four hundred forty-eight thousand, six hundred one".