45841715976 has 384 divisors, whose sum is σ = 144972322560. Its totient is φ = 11999232000.

The previous prime is 45841715971. The next prime is 45841715981. The reversal of 45841715976 is 67951714854.

It is an interprime number because it is at equal distance from previous prime (45841715971) and next prime (45841715981).

Its product of digits (8467200) is a multiple of the sum of its prime factors (525).

It is not an unprimeable number, because it can be changed into a prime (45841715971) 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 95 ways as a sum of consecutive naturals, for example, 147400861 + ... + 147401171.

It is an arithmetic number, because the mean of its divisors is an integer number (377532090).

Almost surely, 2^45841715976 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 45841715976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72486161280).

45841715976 is an abundant number, since it is smaller than the sum of its proper divisors (99130606584).

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

45841715976 is a wasteful number, since it uses less digits than its factorization.

45841715976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 514 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 57.

The spelling of 45841715976 in words is "forty-five billion, eight hundred forty-one million, seven hundred fifteen thousand, nine hundred seventy-six".