2023305685632 has 1152 divisors, whose sum is σ = 8038831752000. Its totient is φ = 497778462720.

The previous prime is 2023305685547. The next prime is 2023305685649. The reversal of 2023305685632 is 2365865033202.

2023305685632 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 3 + 0 + 5 + 6 + 8 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2023305685632² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 389319258 + ... + 389324454.

Almost surely, 2^{2023305685632} is an apocalyptic number.

2023305685632 is a gapful number since it is divisible by the number (22) 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 2023305685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019415876000).

2023305685632 is an abundant number, since it is smaller than the sum of its proper divisors (6015526066368).

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

2023305685632 is a wasteful number, since it uses less digits than its factorization.

2023305685632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 2023305685632 in words is "two trillion, twenty-three billion, three hundred five million, six hundred eighty-five thousand, six hundred thirty-two".