45258414163200 has 1728 divisors, whose sum is σ = 191393750016000. Its totient is φ = 10251121950720.

The previous prime is 45258414163141. The next prime is 45258414163211. The reversal of 45258414163200 is 236141485254.

45258414163200 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 8 + 4 + 1 + 4 + 1 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 119415340611 + ... + 119415340989.

It is an arithmetic number, because the mean of its divisors is an integer number (110760272000).

Almost surely, 2^{45258414163200} is an apocalyptic number.

45258414163200 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 45258414163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95696875008000).

45258414163200 is an abundant number, since it is smaller than the sum of its proper divisors (146135335852800).

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

45258414163200 is a wasteful number, since it uses less digits than its factorization.

45258414163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 45258414163200 in words is "forty-five trillion, two hundred fifty-eight billion, four hundred fourteen million, one hundred sixty-three thousand, two hundred".