45744779808 has 240 divisors, whose sum is σ = 165581317440. Its totient is φ = 12064495104.

The previous prime is 45744779797. The next prime is 45744779813. The reversal of 45744779808 is 80897744754.

45744779808 is a `hidden beast` number, since 4 + 5 + 74 + 477 + 98 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138903 + ... + 332841.

It is an arithmetic number, because the mean of its divisors is an integer number (689922156).

Almost surely, 2^45744779808 is an apocalyptic number.

45744779808 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 45744779808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82790658720).

45744779808 is an abundant number, since it is smaller than the sum of its proper divisors (119836537632).

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

45744779808 is a wasteful number, since it uses less digits than its factorization.

45744779808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193981 (or 193964 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 45744779808 in words is "forty-five billion, seven hundred forty-four million, seven hundred seventy-nine thousand, eight hundred eight".