149433406416 has 160 divisors (see below), whose sum is σ = 491488542720. Its totient is φ = 42583453056.

The previous prime is 149433406411. The next prime is 149433406417. The reversal of 149433406416 is 614604334941.

149433406416 is a `hidden beast` number, since 149 + 433 + 4 + 0 + 64 + 16 = 666.

149433406416 is digitally balanced in base 2 and base 3, because in such bases 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 (149433406411) 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, 1093681 + ... + 1222703.

It is an arithmetic number, because the mean of its divisors is an integer number (3071803392).

Almost surely, 2^149433406416 is an apocalyptic number.

149433406416 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 149433406416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245744271360).

149433406416 is an abundant number, since it is smaller than the sum of its proper divisors (342055136304).

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

149433406416 is a wasteful number, since it uses less digits than its factorization.

149433406416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129430 (or 129418 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 149433406416 in words is "one hundred forty-nine billion, four hundred thirty-three million, four hundred six thousand, four hundred sixteen".