948220452864 has 420 divisors, whose sum is σ = 2929078299312. Its totient is φ = 305671864320.

The previous prime is 948220452863. The next prime is 948220452871. The reversal of 948220452864 is 468254022849.

948220452864 is a `hidden beast` number, since 94 + 8 + 2 + 20 + 4 + 528 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 948220452864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948220452863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 637672729 + ... + 637674215.

Almost surely, 2^948220452864 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 948220452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464539149656).

948220452864 is an abundant number, since it is smaller than the sum of its proper divisors (1980857846448).

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

948220452864 is an equidigital number, since it uses as much as digits as its factorization.

948220452864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 948220452864 in words is "nine hundred forty-eight billion, two hundred twenty million, four hundred fifty-two thousand, eight hundred sixty-four".