149394099673728 has 384 divisors, whose sum is σ = 535801653004800. Its totient is φ = 38901897216000.

The previous prime is 149394099673661. The next prime is 149394099673739. The reversal of 149394099673728 is 827376990493941.

149394099673728 is a `hidden beast` number, since 1 + 4 + 9 + 39 + 409 + 96 + 73 + 7 + 28 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737773 + ... + 17301228.

It is an arithmetic number, because the mean of its divisors is an integer number (1395316804700).

Almost surely, 2^{149394099673728} is an apocalyptic number.

149394099673728 is a gapful number since it is divisible by the number (18) 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 149394099673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267900826502400).

149394099673728 is an abundant number, since it is smaller than the sum of its proper divisors (386407553331072).

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

149394099673728 is a wasteful number, since it uses less digits than its factorization.

149394099673728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18039120 (or 18039105 counting only the distinct ones).

The product of its (nonzero) digits is 4444263936, while the sum is 81.

The spelling of 149394099673728 in words is "one hundred forty-nine trillion, three hundred ninety-four billion, ninety-nine million, six hundred seventy-three thousand, seven hundred twenty-eight".