950921741113344 has 6912 divisors, whose sum is σ = 4137169217126400. Its totient is φ = 203467338547200.

The previous prime is 950921741113343. The next prime is 950921741113349. The reversal of 950921741113344 is 443311147129059.

It is a happy number.

950921741113344 is a `hidden beast` number, since 9 + 5 + 0 + 9 + 217 + 411 + 1 + 3 + 3 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (950921741113343) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7487572764609 + ... + 7487572764735.

It is an arithmetic number, because the mean of its divisors is an integer number (598548787200).

Almost surely, 2^{950921741113344} 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 950921741113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068584608563200).

950921741113344 is an abundant number, since it is smaller than the sum of its proper divisors (3186247476013056).

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

950921741113344 is a wasteful number, since it uses less digits than its factorization.

950921741113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 950921741113344 in words is "nine hundred fifty trillion, nine hundred twenty-one billion, seven hundred forty-one million, one hundred thirteen thousand, three hundred forty-four".