149941949334912 has 384 divisors, whose sum is σ = 497716852988160. Its totient is φ = 42442306891776.

The previous prime is 149941949334817. The next prime is 149941949334913. The reversal of 149941949334912 is 219433949149941.

149941949334912 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 4 + 19 + 493 + 34 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149941949334913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394615483 + ... + 394995269.

It is an arithmetic number, because the mean of its divisors is an integer number (1296137637990).

Almost surely, 2^{149941949334912} is an apocalyptic number.

149941949334912 is a gapful number since it is divisible by the number (12) 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 149941949334912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248858426494080).

149941949334912 is an abundant number, since it is smaller than the sum of its proper divisors (347774903653248).

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

149941949334912 is a wasteful number, since it uses less digits than its factorization.

149941949334912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380270 (or 380255 counting only the distinct ones).

The product of its digits is 272097792, while the sum is 72.

The spelling of 149941949334912 in words is "one hundred forty-nine trillion, nine hundred forty-one billion, nine hundred forty-nine million, three hundred thirty-four thousand, nine hundred twelve".