45885609000 has 960 divisors, whose sum is σ = 203738483520. Its totient is φ = 9525600000.

The previous prime is 45885608999. The next prime is 45885609001. The reversal of 45885609000 is 90658854.

45885609000 is a `hidden beast` number, since 4 + 5 + 88 + 560 + 9 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45885608999) and next prime (45885609001).

It is a super-2 number, since 2×45885609000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45885609001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 43658475 + ... + 43659525.

It is an arithmetic number, because the mean of its divisors is an integer number (212227587).

Almost surely, 2^45885609000 is an apocalyptic number.

45885609000 is a gapful number since it is divisible by the number (40) 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 45885609000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101869241760).

45885609000 is an abundant number, since it is smaller than the sum of its proper divisors (157852874520).

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

45885609000 is a wasteful number, since it uses less digits than its factorization.

45885609000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 45885609000 in words is "forty-five billion, eight hundred eighty-five million, six hundred nine thousand".