45233212181760 has 576 divisors, whose sum is σ = 161623182389760. Its totient is φ = 11979210424320.

The previous prime is 45233212181749. The next prime is 45233212181777. The reversal of 45233212181760 is 6718121233254.

45233212181760 is a `hidden beast` number, since 4 + 52 + 3 + 321 + 218 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2977232724 + ... + 2977247916.

It is an arithmetic number, because the mean of its divisors is an integer number (280595802760).

Almost surely, 2^{45233212181760} is an apocalyptic number.

45233212181760 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 45233212181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80811591194880).

45233212181760 is an abundant number, since it is smaller than the sum of its proper divisors (116389970208000).

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

45233212181760 is a wasteful number, since it uses less digits than its factorization.

45233212181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15811 (or 15791 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 45233212181760 in words is "forty-five trillion, two hundred thirty-three billion, two hundred twelve million, one hundred eighty-one thousand, seven hundred sixty".