954482649120 has 1152 divisors, whose sum is σ = 4385332224000. Its totient is φ = 182573015040.

The previous prime is 954482649097. The next prime is 954482649139. The reversal of 954482649120 is 21946284459.

954482649120 is a `hidden beast` number, since 9 + 54 + 4 + 82 + 6 + 491 + 20 = 666.

It is a super-2 number, since 2×954482649120² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 719277897 + ... + 719279223.

It is an arithmetic number, because the mean of its divisors is an integer number (3806712000).

Almost surely, 2^954482649120 is an apocalyptic number.

954482649120 is a gapful number since it is divisible by the number (90) 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 954482649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192666112000).

954482649120 is an abundant number, since it is smaller than the sum of its proper divisors (3430849574880).

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

954482649120 is a wasteful number, since it uses less digits than its factorization.

954482649120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 954482649120 in words is "nine hundred fifty-four billion, four hundred eighty-two million, six hundred forty-nine thousand, one hundred twenty".