45229916160 has 1080 divisors, whose sum is σ = 191403843120. Its totient is φ = 10121379840.

The previous prime is 45229916153. The next prime is 45229916161. The reversal of 45229916160 is 6161992254.

45229916160 is a `hidden beast` number, since 4 + 5 + 2 + 29 + 9 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (45229916161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3479224314 + ... + 3479224326.

Almost surely, 2^45229916160 is an apocalyptic number.

45229916160 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 45229916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95701921560).

45229916160 is an abundant number, since it is smaller than the sum of its proper divisors (146173926960).

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

45229916160 is a wasteful number, since it uses less digits than its factorization.

45229916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 45229916160 in words is "forty-five billion, two hundred twenty-nine million, nine hundred sixteen thousand, one hundred sixty".