45985294848 has 160 divisors (see below), whose sum is σ = 133900715520. Its totient is φ = 13961134080.

The previous prime is 45985294841. The next prime is 45985294853. The reversal of 45985294848 is 84849258954.

45985294848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45985294848² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45985294841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781068 + ... + 837876.

It is an arithmetic number, because the mean of its divisors is an integer number (836879472).

Almost surely, 2^45985294848 is an apocalyptic number.

45985294848 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 45985294848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66950357760).

45985294848 is an abundant number, since it is smaller than the sum of its proper divisors (87915420672).

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

45985294848 is a wasteful number, since it uses less digits than its factorization.

45985294848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56878 (or 56862 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 66.

The spelling of 45985294848 in words is "forty-five billion, nine hundred eighty-five million, two hundred ninety-four thousand, eight hundred forty-eight".