948390353820 has 1728 divisors, whose sum is σ = 4047016780800. Its totient is φ = 182238336000.

The previous prime is 948390353777. The next prime is 948390353837. The reversal of 948390353820 is 28353093849.

It is a happy number.

948390353820 is a `hidden beast` number, since 9 + 4 + 83 + 9 + 0 + 3 + 538 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6280730745 + ... + 6280730895.

It is an arithmetic number, because the mean of its divisors is an integer number (2342023600).

Almost surely, 2^948390353820 is an apocalyptic number.

948390353820 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 948390353820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023508390400).

948390353820 is an abundant number, since it is smaller than the sum of its proper divisors (3098626426980).

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

948390353820 is a wasteful number, since it uses less digits than its factorization.

948390353820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 948390353820 in words is "nine hundred forty-eight billion, three hundred ninety million, three hundred fifty-three thousand, eight hundred twenty".