211863445248 has 576 divisors, whose sum is σ = 711101647872. Its totient is φ = 54517432320.

The previous prime is 211863445237. The next prime is 211863445253. The reversal of 211863445248 is 842544368112.

It is a super-2 number, since 2×211863445248² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 211863445197 and 211863445206.

It is a congruent number.

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, 668338786 + ... + 668339102.

It is an arithmetic number, because the mean of its divisors is an integer number (1234551472).

Almost surely, 2^211863445248 is an apocalyptic number.

211863445248 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 211863445248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355550823936).

211863445248 is an abundant number, since it is smaller than the sum of its proper divisors (499238202624).

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

211863445248 is a wasteful number, since it uses less digits than its factorization.

211863445248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 546 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The spelling of 211863445248 in words is "two hundred eleven billion, eight hundred sixty-three million, four hundred forty-five thousand, two hundred forty-eight".