45560505312 has 144 divisors (see below), whose sum is σ = 149538366432. Its totient is φ = 12888345600.

The previous prime is 45560505311. The next prime is 45560505349. The reversal of 45560505312 is 21350506554.

45560505312 is a `hidden beast` number, since 4 + 556 + 0 + 50 + 53 + 1 + 2 = 666.

45560505312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45560505311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91738 + ... + 315494.

It is an arithmetic number, because the mean of its divisors is an integer number (1038460878).

Almost surely, 2^45560505312 is an apocalyptic number.

45560505312 is a gapful number since it is divisible by the number (42) 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 45560505312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74769183216).

45560505312 is an abundant number, since it is smaller than the sum of its proper divisors (103977861120).

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

45560505312 is a wasteful number, since it uses less digits than its factorization.

45560505312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223881 (or 223870 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 45560505312 in words is "forty-five billion, five hundred sixty million, five hundred five thousand, three hundred twelve".