45783249408 has 320 divisors, whose sum is σ = 146551870080. Its totient is φ = 14028816384.

The previous prime is 45783249367. The next prime is 45783249409. The reversal of 45783249408 is 80494238754.

45783249408 is a `hidden beast` number, since 4 + 578 + 3 + 24 + 9 + 40 + 8 = 666.

It is a super-2 number, since 2×45783249408² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45783249409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67032235 + ... + 67032917.

It is an arithmetic number, because the mean of its divisors is an integer number (457974594).

Almost surely, 2^45783249408 is an apocalyptic number.

45783249408 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 45783249408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73275935040).

45783249408 is an abundant number, since it is smaller than the sum of its proper divisors (100768620672).

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

45783249408 is a wasteful number, since it uses less digits than its factorization.

45783249408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 45783249408 in words is "forty-five billion, seven hundred eighty-three million, two hundred forty-nine thousand, four hundred eight".