45430160620064 has 192 divisors, whose sum is σ = 101118291563520. Its totient is φ = 19914550656000.

The previous prime is 45430160620043. The next prime is 45430160620067. The reversal of 45430160620064 is 46002606103454.

It is not an unprimeable number, because it can be changed into a prime (45430160620067) 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 31 ways as a sum of consecutive naturals, for example, 438382847 + ... + 438486465.

It is an arithmetic number, because the mean of its divisors is an integer number (526657768560).

Almost surely, 2^{45430160620064} is an apocalyptic number.

45430160620064 is a gapful number since it is divisible by the number (44) 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 45430160620064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50559145781760).

45430160620064 is an abundant number, since it is smaller than the sum of its proper divisors (55688130943456).

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

45430160620064 is a wasteful number, since it uses less digits than its factorization.

45430160620064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104095 (or 104087 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 45430160620064 in words is "forty-five trillion, four hundred thirty billion, one hundred sixty million, six hundred twenty thousand, sixty-four".