150185618814 has 128 divisors (see below), whose sum is σ = 376451712000. Its totient is φ = 38805396480.

The previous prime is 150185618809. The next prime is 150185618831. The reversal of 150185618814 is 418816581051.

It is a super-2 number, since 2×150185618814² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 91743604 + ... + 91745240.

It is an arithmetic number, because the mean of its divisors is an integer number (2941029000).

Almost surely, 2^150185618814 is an apocalyptic number.

150185618814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150185618814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856000).

150185618814 is an abundant number, since it is smaller than the sum of its proper divisors (226266093186).

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

150185618814 is a wasteful number, since it uses less digits than its factorization.

150185618814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578.

The product of its (nonzero) digits is 307200, while the sum is 48.

The spelling of 150185618814 in words is "one hundred fifty billion, one hundred eighty-five million, six hundred eighteen thousand, eight hundred fourteen".