45973224000 has 672 divisors, whose sum is σ = 185503718400. Its totient is φ = 11138688000.

The previous prime is 45973223953. The next prime is 45973224001. The reversal of 45973224000 is 42237954.

45973224000 is a `hidden beast` number, since 4 + 597 + 3 + 22 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×45973224000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45973224001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 26135121 + ... + 26136879.

It is an arithmetic number, because the mean of its divisors is an integer number (276047200).

Almost surely, 2^45973224000 is an apocalyptic number.

45973224000 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 45973224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92751859200).

45973224000 is an abundant number, since it is smaller than the sum of its proper divisors (139530494400).

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

45973224000 is a wasteful number, since it uses less digits than its factorization.

45973224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 45973224000 in words is "forty-five billion, nine hundred seventy-three million, two hundred twenty-four thousand".