45862435008 has 448 divisors, whose sum is σ = 150706124800. Its totient is φ = 13586227200.

The previous prime is 45862434991. The next prime is 45862435009. The reversal of 45862435008 is 80053426854.

45862435008 is a `hidden beast` number, since 45 + 8 + 62 + 43 + 500 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (45862435009) 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 63 ways as a sum of consecutive naturals, for example, 76309908 + ... + 76310508.

It is an arithmetic number, because the mean of its divisors is an integer number (336397600).

Almost surely, 2^45862435008 is an apocalyptic number.

45862435008 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 45862435008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75353062400).

45862435008 is an abundant number, since it is smaller than the sum of its proper divisors (104843689792).

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

45862435008 is a wasteful number, since it uses less digits than its factorization.

45862435008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 741 counting only the distinct ones).

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

The spelling of 45862435008 in words is "forty-five billion, eight hundred sixty-two million, four hundred thirty-five thousand, eight".