950014554048 has 448 divisors, whose sum is σ = 3236449305600. Its totient is φ = 267656970240.

The previous prime is 950014554031. The next prime is 950014554091. The reversal of 950014554048 is 840455410059.

950014554048 is a `hidden beast` number, since 9 + 50 + 0 + 1 + 4 + 554 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 950014553994 and 950014554012.

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, 491979643 + ... + 491981573.

It is an arithmetic number, because the mean of its divisors is an integer number (7224217200).

Almost surely, 2^950014554048 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 950014554048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618224652800).

950014554048 is an abundant number, since it is smaller than the sum of its proper divisors (2286434751552).

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

950014554048 is a wasteful number, since it uses less digits than its factorization.

950014554048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 950014554048 in words is "nine hundred fifty billion, fourteen million, five hundred fifty-four thousand, forty-eight".