45414086256 has 240 divisors, whose sum is σ = 161449666560. Its totient is φ = 11573153280.

The previous prime is 45414086251. The next prime is 45414086257. The reversal of 45414086256 is 65268041454.

It is a happy number.

45414086256 is a `hidden beast` number, since 4 + 5 + 4 + 14 + 0 + 8 + 625 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45414086251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549025 + ... + 626303.

It is an arithmetic number, because the mean of its divisors is an integer number (672706944).

Almost surely, 2^45414086256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45414086256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80724833280).

45414086256 is an abundant number, since it is smaller than the sum of its proper divisors (116035580304).

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

45414086256 is a wasteful number, since it uses less digits than its factorization.

45414086256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77364 (or 77355 counting only the distinct ones).

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

The spelling of 45414086256 in words is "forty-five billion, four hundred fourteen million, eighty-six thousand, two hundred fifty-six".