4611526605664 has 192 divisors, whose sum is σ = 10797209902080. Its totient is φ = 1916696320000.

The previous prime is 4611526605619. The next prime is 4611526605677. The reversal of 4611526605664 is 4665066251164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23615949 + ... + 23810419.

It is an arithmetic number, because the mean of its divisors is an integer number (56235468240).

Almost surely, 2^{4611526605664} is an apocalyptic number.

4611526605664 is a gapful number since it is divisible by the number (44) 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 4611526605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398604951040).

4611526605664 is an abundant number, since it is smaller than the sum of its proper divisors (6185683296416).

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

4611526605664 is a wasteful number, since it uses less digits than its factorization.

4611526605664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194645 (or 194637 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 4611526605664 in words is "four trillion, six hundred eleven billion, five hundred twenty-six million, six hundred five thousand, six hundred sixty-four".