45440185560 has 256 divisors, whose sum is σ = 170301173760. Its totient is φ = 9423060480.

The previous prime is 45440185529. The next prime is 45440185561. The reversal of 45440185560 is 6558104454.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45440185561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4827819 + ... + 4837221.

It is an arithmetic number, because the mean of its divisors is an integer number (665238960).

Almost surely, 2^45440185560 is an apocalyptic number.

45440185560 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 45440185560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85150586880).

45440185560 is an abundant number, since it is smaller than the sum of its proper divisors (124860988200).

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

45440185560 is a wasteful number, since it uses less digits than its factorization.

45440185560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9958 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 45440185560 in words is "forty-five billion, four hundred forty million, one hundred eighty-five thousand, five hundred sixty".