45313041600 has 336 divisors, whose sum is σ = 169653204000. Its totient is φ = 11756482560.

The previous prime is 45313041547. The next prime is 45313041601. The reversal of 45313041600 is 614031354.

45313041600 is a `hidden beast` number, since 4 + 5 + 3 + 13 + 0 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45313041601) 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, 1584226 + ... + 1612574.

It is an arithmetic number, because the mean of its divisors is an integer number (504920250).

Almost surely, 2^45313041600 is an apocalyptic number.

45313041600 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 45313041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84826602000).

45313041600 is an abundant number, since it is smaller than the sum of its proper divisors (124340162400).

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

45313041600 is a wasteful number, since it uses less digits than its factorization.

45313041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28417 (or 28396 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 45313041600 its reverse (614031354), we get a palindrome (45927072954).

The spelling of 45313041600 in words is "forty-five billion, three hundred thirteen million, forty-one thousand, six hundred".