213863882148 has 192 divisors, whose sum is σ = 654877081600. Its totient is φ = 59063696640.

The previous prime is 213863882131. The next prime is 213863882233. The reversal of 213863882148 is 841288368312.

213863882148 is a `hidden beast` number, since 213 + 8 + 6 + 388 + 2 + 1 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213863882094 and 213863882103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21954663 + ... + 21964401.

Almost surely, 2^213863882148 is an apocalyptic number.

213863882148 is a gapful number since it is divisible by the number (28) 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 213863882148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327438540800).

213863882148 is an abundant number, since it is smaller than the sum of its proper divisors (441013199452).

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

213863882148 is a wasteful number, since it uses less digits than its factorization.

213863882148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10727 (or 10719 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 213863882148 in words is "two hundred thirteen billion, eight hundred sixty-three million, eight hundred eighty-two thousand, one hundred forty-eight".