45414187056 has 1200 divisors, whose sum is σ = 177340078080. Its totient is φ = 11112837120.

The previous prime is 45414187051. The next prime is 45414187069. The reversal of 45414187056 is 65078141454.

45414187056 is a `hidden beast` number, since 4 + 5 + 414 + 187 + 0 + 56 = 666.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45414187051) 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 239 ways as a sum of consecutive naturals, for example, 769731955 + ... + 769732013.

Almost surely, 2^45414187056 is an apocalyptic number.

45414187056 is a gapful number since it is divisible by the number (46) 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 45414187056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88670039040).

45414187056 is an abundant number, since it is smaller than the sum of its proper divisors (131925891024).

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

45414187056 is a wasteful number, since it uses less digits than its factorization.

45414187056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 45414187056 in words is "forty-five billion, four hundred fourteen million, one hundred eighty-seven thousand, fifty-six".