2801123874468 has 60 divisors (see below), whose sum is σ = 7323672923952. Its totient is φ = 933582769200.

The previous prime is 2801123874467. The next prime is 2801123874469. The reversal of 2801123874468 is 8644783211082.

2801123874468 is a `hidden beast` number, since 2 + 8 + 0 + 112 + 3 + 87 + 446 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2801123874467) and next prime (2801123874469).

It is a super-2 number, since 2×2801123874468² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2801123874463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1856443 + ... + 3008093.

Almost surely, 2^{2801123874468} is an apocalyptic number.

It is an amenable number.

2801123874468 is an abundant number, since it is smaller than the sum of its proper divisors (4522549049484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2801123874468 is a wasteful number, since it uses less digits than its factorization.

2801123874468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159174 (or 1159163 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 2801123874468 in words is "two trillion, eight hundred one billion, one hundred twenty-three million, eight hundred seventy-four thousand, four hundred sixty-eight".