45774742848 has 224 divisors, whose sum is σ = 133476065280. Its totient is φ = 13789440000.

The previous prime is 45774742843. The next prime is 45774742859. The reversal of 45774742848 is 84824747754.

It is a happy number.

It is a super-2 number, since 2×45774742848² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45774742791 and 45774742800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45774742843) 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 31 ways as a sum of consecutive naturals, for example, 8026398 + ... + 8032098.

Almost surely, 2^45774742848 is an apocalyptic number.

45774742848 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 45774742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66738032640).

45774742848 is an abundant number, since it is smaller than the sum of its proper divisors (87701322432).

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

45774742848 is a wasteful number, since it uses less digits than its factorization.

45774742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837 (or 5827 counting only the distinct ones).

The product of its digits is 56197120, while the sum is 60.

The spelling of 45774742848 in words is "forty-five billion, seven hundred seventy-four million, seven hundred forty-two thousand, eight hundred forty-eight".