45825954048 has 324 divisors, whose sum is σ = 159010700940. Its totient is φ = 12640739328.

The previous prime is 45825954043. The next prime is 45825954059. The reversal of 45825954048 is 84045952854.

45825954048 is a `hidden beast` number, since 4 + 5 + 8 + 2 + 59 + 540 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23167275264 + 22658678784 = 152208^2 + 150528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45825953985 and 45825954003.

It is not an unprimeable number, because it can be changed into a prime (45825954043) 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 35 ways as a sum of consecutive naturals, for example, 3266986 + ... + 3280982.

Almost surely, 2^45825954048 is an apocalyptic number.

45825954048 is a gapful number since it is divisible by the number (48) 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 45825954048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79505350470).

45825954048 is an abundant number, since it is smaller than the sum of its proper divisors (113184746892).

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

45825954048 is a wasteful number, since it uses less digits than its factorization.

45825954048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14062 (or 14038 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 45825954048 in words is "forty-five billion, eight hundred twenty-five million, nine hundred fifty-four thousand, forty-eight".