2111265598464 has 528 divisors, whose sum is σ = 6957924948000. Its totient is φ = 610699837440.

The previous prime is 2111265598457. The next prime is 2111265598469. The reversal of 2111265598464 is 4648955621112.

It is a happy number.

2111265598464 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 2 + 6 + 5 + 598 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a self number, because there is not a number n which added to its sum of digits gives 2111265598464.

It is not an unprimeable number, because it can be changed into a prime (2111265598469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261647422 + ... + 261655490.

Almost surely, 2^{2111265598464} is an apocalyptic number.

2111265598464 is a gapful number since it is divisible by the number (24) 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 2111265598464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478962474000).

2111265598464 is an abundant number, since it is smaller than the sum of its proper divisors (4846659349536).

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

2111265598464 is a wasteful number, since it uses less digits than its factorization.

2111265598464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8224 (or 8203 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 2111265598464 in words is "two trillion, one hundred eleven billion, two hundred sixty-five million, five hundred ninety-eight thousand, four hundred sixty-four".