45166246272 has 768 divisors, whose sum is σ = 170164152000. Its totient is φ = 11705057280.

The previous prime is 45166246267. The next prime is 45166246277. The reversal of 45166246272 is 27264266154.

45166246272 is a `hidden beast` number, since 4 + 5 + 16 + 6 + 2 + 4 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (45166246267) and next prime (45166246277).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45166246277) 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 95 ways as a sum of consecutive naturals, for example, 83486322 + ... + 83486862.

Almost surely, 2^45166246272 is an apocalyptic number.

45166246272 is a gapful number since it is divisible by the number (42) 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 45166246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85082076000).

45166246272 is an abundant number, since it is smaller than the sum of its proper divisors (124997905728).

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

45166246272 is a wasteful number, since it uses less digits than its factorization.

45166246272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 599 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 45166246272 in words is "forty-five billion, one hundred sixty-six million, two hundred forty-six thousand, two hundred seventy-two".