150168621168 has 320 divisors, whose sum is σ = 468914987520. Its totient is φ = 45836955648.

The previous prime is 150168621143. The next prime is 150168621199. The reversal of 150168621168 is 861126861051.

150168621168 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 6 + 8 + 621 + 16 + 8 = 666.

It is a super-2 number, since 2×150168621168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 40838146 + ... + 40841822.

It is an arithmetic number, because the mean of its divisors is an integer number (1465359336).

Almost surely, 2^150168621168 is an apocalyptic number.

150168621168 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 150168621168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234457493760).

150168621168 is an abundant number, since it is smaller than the sum of its proper divisors (318746366352).

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

150168621168 is a wasteful number, since it uses less digits than its factorization.

150168621168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 150168621168 in words is "one hundred fifty billion, one hundred sixty-eight million, six hundred twenty-one thousand, one hundred sixty-eight".