149051842416 has 160 divisors (see below), whose sum is σ = 446972731200. Its totient is φ = 47495347200.

The previous prime is 149051842397. The next prime is 149051842417. The reversal of 149051842416 is 614248150941.

149051842416 is a `hidden beast` number, since 1 + 4 + 90 + 518 + 4 + 2 + 41 + 6 = 666.

149051842416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149051842417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206430 + ... + 1324226.

It is an arithmetic number, because the mean of its divisors is an integer number (2793579570).

Almost surely, 2^149051842416 is an apocalyptic number.

149051842416 is a gapful number since it is divisible by the number (16) 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 149051842416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223486365600).

149051842416 is an abundant number, since it is smaller than the sum of its proper divisors (297920888784).

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

149051842416 is a wasteful number, since it uses less digits than its factorization.

149051842416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117944 (or 117932 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 149051842416 in words is "one hundred forty-nine billion, fifty-one million, eight hundred forty-two thousand, four hundred sixteen".