45392016384000 has 4480 divisors, whose sum is σ = 205734851562240. Its totient is φ = 9809952768000.

The previous prime is 45392016383999. The next prime is 45392016384007. The reversal of 45392016384000 is 48361029354.

45392016384000 is a `hidden beast` number, since 4 + 5 + 3 + 9 + 2 + 0 + 1 + 638 + 4 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×45392016384000³ (a number of 42 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45392016384007) 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 319 ways as a sum of consecutive naturals, for example, 510022655956 + ... + 510022656044.

It is an arithmetic number, because the mean of its divisors is an integer number (45922957938).

Almost surely, 2^{45392016384000} is an apocalyptic number.

45392016384000 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 45392016384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102867425781120).

45392016384000 is an abundant number, since it is smaller than the sum of its proper divisors (160342835178240).

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

45392016384000 is a wasteful number, since it uses less digits than its factorization.

45392016384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 45392016384000 in words is "forty-five trillion, three hundred ninety-two billion, sixteen million, three hundred eighty-four thousand".