2264635116544 has 88 divisors (see below), whose sum is σ = 4569878503008. Its totient is φ = 1121656504320.

The previous prime is 2264635116529. The next prime is 2264635116547. The reversal of 2264635116544 is 4456115364622.

It is a super-2 number, since 2×2264635116544² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2264635116547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47609637 + ... + 47657179.

Almost surely, 2^{2264635116544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264635116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284939251504).

2264635116544 is an abundant number, since it is smaller than the sum of its proper divisors (2305243386464).

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

2264635116544 is a wasteful number, since it uses less digits than its factorization.

2264635116544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48001 (or 47983 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 49.

The spelling of 2264635116544 in words is "two trillion, two hundred sixty-four billion, six hundred thirty-five million, one hundred sixteen thousand, five hundred forty-four".