45162202176 has 336 divisors, whose sum is σ = 168697436544. Its totient is φ = 11210047488.

The previous prime is 45162202123. The next prime is 45162202177. The reversal of 45162202176 is 67120226154.

It is a happy number.

45162202176 is a `hidden beast` number, since 4 + 5 + 1 + 622 + 0 + 21 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45162202176.

It is not an unprimeable number, because it can be changed into a prime (45162202177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 865731 + ... + 916413.

It is an arithmetic number, because the mean of its divisors is an integer number (502075704).

Almost surely, 2^45162202176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45162202176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84348718272).

45162202176 is an abundant number, since it is smaller than the sum of its proper divisors (123535234368).

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

45162202176 is a wasteful number, since it uses less digits than its factorization.

45162202176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50738 (or 50725 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 45162202176 in words is "forty-five billion, one hundred sixty-two million, two hundred two thousand, one hundred seventy-six".