149668743168 has 768 divisors, whose sum is σ = 545965056000. Its totient is φ = 39558316032.

The previous prime is 149668743151. The next prime is 149668743199. The reversal of 149668743168 is 861347866941.

It is a happy number.

149668743168 is a `hidden beast` number, since 1 + 4 + 9 + 66 + 87 + 431 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345655080 + ... + 345655512.

It is an arithmetic number, because the mean of its divisors is an integer number (710892000).

Almost surely, 2^149668743168 is an apocalyptic number.

149668743168 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 149668743168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272982528000).

149668743168 is an abundant number, since it is smaller than the sum of its proper divisors (396296312832).

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

149668743168 is a wasteful number, since it uses less digits than its factorization.

149668743168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 511 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 149668743168 in words is "one hundred forty-nine billion, six hundred sixty-eight million, seven hundred forty-three thousand, one hundred sixty-eight".