948656016000 has 3072 divisors, whose sum is σ = 4655978496000. Its totient is φ = 184384512000.

The previous prime is 948656015933. The next prime is 948656016001. The reversal of 948656016000 is 610656849.

948656016000 is a `hidden beast` number, since 9 + 4 + 86 + 560 + 1 + 6 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (948656016001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12008303961 + ... + 12008304039.

It is an arithmetic number, because the mean of its divisors is an integer number (1515618000).

Almost surely, 2^948656016000 is an apocalyptic number.

948656016000 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 948656016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327989248000).

948656016000 is an abundant number, since it is smaller than the sum of its proper divisors (3707322480000).

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

948656016000 is a wasteful number, since it uses less digits than its factorization.

948656016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 948656016000 in words is "nine hundred forty-eight billion, six hundred fifty-six million, sixteen thousand".