45578589056 has 256 divisors, whose sum is σ = 122918584320. Its totient is φ = 16257024000.

The previous prime is 45578588989. The next prime is 45578589097. The reversal of 45578589056 is 65098587554.

It is a super-2 number, since 2×45578589056² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45578589056.

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, 16270856 + ... + 16273656.

It is an arithmetic number, because the mean of its divisors is an integer number (480150720).

Almost surely, 2^45578589056 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 45578589056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61459292160).

45578589056 is an abundant number, since it is smaller than the sum of its proper divisors (77339995264).

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

45578589056 is a wasteful number, since it uses less digits than its factorization.

45578589056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 62.

The spelling of 45578589056 in words is "forty-five billion, five hundred seventy-eight million, five hundred eighty-nine thousand, fifty-six".