45164301254520 has 512 divisors, whose sum is σ = 165218586624000. Its totient is φ = 9646997667840.

The previous prime is 45164301254491. The next prime is 45164301254543. The reversal of 45164301254520 is 2545210346154.

45164301254520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1375560024 + ... + 1375592856.

It is an arithmetic number, because the mean of its divisors is an integer number (322692552000).

Almost surely, 2^{45164301254520} is an apocalyptic number.

45164301254520 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 45164301254520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82609293312000).

45164301254520 is an abundant number, since it is smaller than the sum of its proper divisors (120054285369480).

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

45164301254520 is a wasteful number, since it uses less digits than its factorization.

45164301254520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34043 (or 34039 counting only the distinct ones).

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

The spelling of 45164301254520 in words is "forty-five trillion, one hundred sixty-four billion, three hundred one million, two hundred fifty-four thousand, five hundred twenty".