149785819344 has 720 divisors, whose sum is σ = 553244590080. Its totient is φ = 37505825280.

The previous prime is 149785819327. The next prime is 149785819349. The reversal of 149785819344 is 443918587941.

149785819344 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 8 + 581 + 9 + 3 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149785819349) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95586849 + ... + 95588415.

It is an arithmetic number, because the mean of its divisors is an integer number (768395264).

Almost surely, 2^149785819344 is an apocalyptic number.

149785819344 is a gapful number since it is divisible by the number (14) 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 149785819344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276622295040).

149785819344 is an abundant number, since it is smaller than the sum of its proper divisors (403458770736).

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

149785819344 is a wasteful number, since it uses less digits than its factorization.

149785819344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1652 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 149785819344 in words is "one hundred forty-nine billion, seven hundred eighty-five million, eight hundred nineteen thousand, three hundred forty-four".