45711375801300 has 648 divisors, whose sum is σ = 166834120792248. Its totient is φ = 10424642764800.

The previous prime is 45711375801277. The next prime is 45711375801307. The reversal of 45711375801300 is 310857311754.

45711375801300 is a `hidden beast` number, since 4 + 5 + 7 + 1 + 1 + 37 + 580 + 1 + 30 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 13007823236496 + 32703552564804 = 3606636^2 + 5718702^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45711375801307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4918899454 + ... + 4918908746.

It is an arithmetic number, because the mean of its divisors is an integer number (257460062951).

Almost surely, 2^{45711375801300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45711375801300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83417060396124).

45711375801300 is an abundant number, since it is smaller than the sum of its proper divisors (121122744990948).

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

45711375801300 is a wasteful number, since it uses less digits than its factorization.

45711375801300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12009 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 45711375801300 in words is "forty-five trillion, seven hundred eleven billion, three hundred seventy-five million, eight hundred one thousand, three hundred".