948200338944000 has 2288 divisors, whose sum is σ = 3603594687438720. Its totient is φ = 249023899238400.

The previous prime is 948200338943993. The next prime is 948200338944041. The reversal of 948200338944000 is 449833002849.

948200338944000 is a `hidden beast` number, since 9 + 482 + 0 + 0 + 3 + 38 + 94 + 40 + 0 + 0 = 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 175 ways as a sum of consecutive naturals, for example, 2388413951802 + ... + 2388413952198.

Almost surely, 2^{948200338944000} is an apocalyptic number.

948200338944000 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 948200338944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801797343719360).

948200338944000 is an abundant number, since it is smaller than the sum of its proper divisors (2655394348494720).

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

948200338944000 is an frugal number, since it uses more digits than its factorization.

948200338944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 948200338944000 in words is "nine hundred forty-eight trillion, two hundred billion, three hundred thirty-eight million, nine hundred forty-four thousand".