45005587000 has 192 divisors, whose sum is σ = 116159752800. Its totient is φ = 16308864000.

The previous prime is 45005586979. The next prime is 45005587009. The reversal of 45005587000 is 78550054.

It is a super-2 number, since 2×45005587000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45005587009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52392571 + ... + 52393429.

Almost surely, 2^45005587000 is an apocalyptic number.

45005587000 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 45005587000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58079876400).

45005587000 is an abundant number, since it is smaller than the sum of its proper divisors (71154165800).

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

45005587000 is a wasteful number, since it uses less digits than its factorization.

45005587000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The spelling of 45005587000 in words is "forty-five billion, five million, five hundred eighty-seven thousand".