950150142583136 has 288 divisors, whose sum is σ = 2180162581954560. Its totient is φ = 406593323136000.

The previous prime is 950150142583129. The next prime is 950150142583177. The reversal of 950150142583136 is 631385241051059.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36377725085 + ... + 36377751203.

It is an arithmetic number, because the mean of its divisors is an integer number (7570008965120).

Almost surely, 2^{950150142583136} 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 950150142583136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090081290977280).

950150142583136 is an abundant number, since it is smaller than the sum of its proper divisors (1230012439371424).

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

950150142583136 is a wasteful number, since it uses less digits than its factorization.

950150142583136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34410 (or 34391 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 53.

The spelling of 950150142583136 in words is "nine hundred fifty trillion, one hundred fifty billion, one hundred forty-two million, five hundred eighty-three thousand, one hundred thirty-six".