2635723112008 has 96 divisors (see below), whose sum is σ = 5905771630200. Its totient is φ = 1098775093248.

The previous prime is 2635723111999. The next prime is 2635723112089. The reversal of 2635723112008 is 8002113275362.

It can be written as a sum of positive squares in 4 ways, for example, as 2629787642244 + 5935469764 = 1621662^2 + 77042^2 .

It is a super-2 number, since 2×2635723112008² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 59923048 + ... + 59967016.

Almost surely, 2^{2635723112008} is an apocalyptic number.

2635723112008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2635723112008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952885815100).

2635723112008 is an abundant number, since it is smaller than the sum of its proper divisors (3270048518192).

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

2635723112008 is a wasteful number, since it uses less digits than its factorization.

2635723112008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48159 (or 48148 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 2635723112008 in words is "two trillion, six hundred thirty-five billion, seven hundred twenty-three million, one hundred twelve thousand, eight".