954464357952 has 504 divisors, whose sum is σ = 3474084126240. Its totient is φ = 258347335680.

The previous prime is 954464357921. The next prime is 954464358017. The reversal of 954464357952 is 259753464459.

It is a happy number.

954464357952 is a `hidden beast` number, since 9 + 5 + 4 + 4 + 6 + 4 + 3 + 579 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×954464357952² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 954464357952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14445952 + ... + 14511872.

It is an arithmetic number, because the mean of its divisors is an integer number (6893024060).

Almost surely, 2^954464357952 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 954464357952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737042063120).

954464357952 is an abundant number, since it is smaller than the sum of its proper divisors (2519619768288).

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

954464357952 is a wasteful number, since it uses less digits than its factorization.

954464357952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65981 (or 65952 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 63.

The spelling of 954464357952 in words is "nine hundred fifty-four billion, four hundred sixty-four million, three hundred fifty-seven thousand, nine hundred fifty-two".