954946464768 has 440 divisors, whose sum is σ = 2912133337344. Its totient is φ = 311631667200.

The previous prime is 954946464757. The next prime is 954946464779. The reversal of 954946464768 is 867464649459.

954946464768 is a `hidden beast` number, since 9 + 5 + 4 + 94 + 6 + 464 + 76 + 8 = 666.

954946464768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (954946464757) and next prime (954946464779).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 954946464696 and 954946464705.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 983466523 + ... + 983467493.

Almost surely, 2^954946464768 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 954946464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456066668672).

954946464768 is an abundant number, since it is smaller than the sum of its proper divisors (1957186872576).

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

954946464768 is a wasteful number, since it uses less digits than its factorization.

954946464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1214 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 954946464768 in words is "nine hundred fifty-four billion, nine hundred forty-six million, four hundred sixty-four thousand, seven hundred sixty-eight".