149689321344 has 384 divisors, whose sum is σ = 462084480000. Its totient is φ = 46424641536.

The previous prime is 149689321279. The next prime is 149689321391. The reversal of 149689321344 is 443123986941.

149689321344 is a `hidden beast` number, since 1 + 496 + 8 + 93 + 21 + 3 + 44 = 666.

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

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 113486317 + ... + 113487635.

It is an arithmetic number, because the mean of its divisors is an integer number (1203345000).

Almost surely, 2^149689321344 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 149689321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231042240000).

149689321344 is an abundant number, since it is smaller than the sum of its proper divisors (312395158656).

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

149689321344 is a wasteful number, since it uses less digits than its factorization.

149689321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1475 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 149689321344 in words is "one hundred forty-nine billion, six hundred eighty-nine million, three hundred twenty-one thousand, three hundred forty-four".