947452041648 has 360 divisors, whose sum is σ = 3159177005088. Its totient is φ = 264196767744.

The previous prime is 947452041647. The next prime is 947452041691. The reversal of 947452041648 is 846140254749.

947452041648 is a `hidden beast` number, since 9 + 4 + 74 + 520 + 4 + 1 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 947452041594 and 947452041603.

It is not an unprimeable number, because it can be changed into a prime (947452041647) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 72169261 + ... + 72182387.

Almost surely, 2^947452041648 is an apocalyptic number.

947452041648 is a gapful number since it is divisible by the number (98) 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 947452041648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579588502544).

947452041648 is an abundant number, since it is smaller than the sum of its proper divisors (2211724963440).

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

947452041648 is a wasteful number, since it uses less digits than its factorization.

947452041648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13401 (or 13385 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 947452041648 in words is "nine hundred forty-seven billion, four hundred fifty-two million, forty-one thousand, six hundred forty-eight".