42645523536 has 240 divisors, whose sum is σ = 157551308928. Its totient is φ = 10425139200.

The previous prime is 42645523511. The next prime is 42645523573. The reversal of 42645523536 is 63532554624.

42645523536 is a `hidden beast` number, since 4 + 2 + 64 + 5 + 52 + 3 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42645523491 and 42645523500.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 75376 + ... + 301616.

Almost surely, 2^42645523536 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 42645523536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78775654464).

42645523536 is an abundant number, since it is smaller than the sum of its proper divisors (114905785392).

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

42645523536 is a wasteful number, since it uses less digits than its factorization.

42645523536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226290 (or 226281 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

The spelling of 42645523536 in words is "forty-two billion, six hundred forty-five million, five hundred twenty-three thousand, five hundred thirty-six".