149669005824 has 600 divisors, whose sum is σ = 508399061940. Its totient is φ = 43571478528.

The previous prime is 149669005793. The next prime is 149669005859. The reversal of 149669005824 is 428500966941.

It can be written as a sum of positive squares in 2 ways, for example, as 140499028224 + 9169977600 = 374832^2 + 95760^2 .

It is a super-2 number, since 2×149669005824² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 194627712 + ... + 194628480.

Almost surely, 2^149669005824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149669005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254199530970).

149669005824 is an abundant number, since it is smaller than the sum of its proper divisors (358730056116).

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

149669005824 is an equidigital number, since it uses as much as digits as its factorization.

149669005824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 149669005824 in words is "one hundred forty-nine billion, six hundred sixty-nine million, five thousand, eight hundred twenty-four".