948566868480 has 3360 divisors, whose sum is σ = 4625553195648. Its totient is φ = 183936614400.

The previous prime is 948566868463. The next prime is 948566868481. The reversal of 948566868480 is 84868665849.

948566868480 is a `hidden beast` number, since 9 + 4 + 8 + 5 + 66 + 86 + 8 + 480 = 666.

948566868480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3360).

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 = 948566868399 and 948566868408.

It is not an unprimeable number, because it can be changed into a prime (948566868481) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 23135777260 + ... + 23135777300.

Almost surely, 2^948566868480 is an apocalyptic number.

948566868480 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 948566868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312776597824).

948566868480 is an abundant number, since it is smaller than the sum of its proper divisors (3676986327168).

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

948566868480 is a wasteful number, since it uses less digits than its factorization.

948566868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 948566868480 in words is "nine hundred forty-eight billion, five hundred sixty-six million, eight hundred sixty-eight thousand, four hundred eighty".