950056563456 has 2592 divisors, whose sum is σ = 4100659064320. Its totient is φ = 212840939520.

The previous prime is 950056563431. The next prime is 950056563457. The reversal of 950056563456 is 654365650059.

950056563456 is a `hidden beast` number, since 9 + 500 + 5 + 6 + 56 + 34 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (950056563457) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13014473436 + ... + 13014473508.

Almost surely, 2^950056563456 is an apocalyptic number.

950056563456 is a gapful number since it is divisible by the number (96) 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 950056563456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050329532160).

950056563456 is an abundant number, since it is smaller than the sum of its proper divisors (3150602500864).

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

950056563456 is a wasteful number, since it uses less digits than its factorization.

950056563456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 950056563456 in words is "nine hundred fifty billion, fifty-six million, five hundred sixty-three thousand, four hundred fifty-six".