45167885280 has 768 divisors, whose sum is σ = 191987712000. Its totient is φ = 9688025088.

The previous prime is 45167885239. The next prime is 45167885297. The reversal of 45167885280 is 8258876154.

45167885280 is a `hidden beast` number, since 4 + 51 + 67 + 8 + 8 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72968811 + ... + 72969429.

It is an arithmetic number, because the mean of its divisors is an integer number (249984000).

Almost surely, 2^45167885280 is an apocalyptic number.

45167885280 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 45167885280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95993856000).

45167885280 is an abundant number, since it is smaller than the sum of its proper divisors (146819826720).

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

45167885280 is a wasteful number, since it uses less digits than its factorization.

45167885280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 45167885280 in words is "forty-five billion, one hundred sixty-seven million, eight hundred eighty-five thousand, two hundred eighty".