45023015854320 has 1280 divisors, whose sum is σ = 171350832844800. Its totient is φ = 9563589181440.

The previous prime is 45023015854279. The next prime is 45023015854343. The reversal of 45023015854320 is 2345851032054.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30156071494 + ... + 30156072986.

It is an arithmetic number, because the mean of its divisors is an integer number (133867838160).

Almost surely, 2^{45023015854320} is an apocalyptic number.

45023015854320 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 45023015854320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85675416422400).

45023015854320 is an abundant number, since it is smaller than the sum of its proper divisors (126327816990480).

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

45023015854320 is a wasteful number, since it uses less digits than its factorization.

45023015854320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

Adding to 45023015854320 its reverse (2345851032054), we get a palindrome (47368866886374).

The spelling of 45023015854320 in words is "forty-five trillion, twenty-three billion, fifteen million, eight hundred fifty-four thousand, three hundred twenty".