211034631192 has 384 divisors, whose sum is σ = 707398272000. Its totient is φ = 51793674240.

The previous prime is 211034631121. The next prime is 211034631217. The reversal of 211034631192 is 291136430112.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17625784 + ... + 17637752.

It is an arithmetic number, because the mean of its divisors is an integer number (1842183000).

Almost surely, 2^211034631192 is an apocalyptic number.

211034631192 is a gapful number since it is divisible by the number (22) 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 211034631192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353699136000).

211034631192 is an abundant number, since it is smaller than the sum of its proper divisors (496363640808).

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

211034631192 is a wasteful number, since it uses less digits than its factorization.

211034631192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12079 (or 12068 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 211034631192 in words is "two hundred eleven billion, thirty-four million, six hundred thirty-one thousand, one hundred ninety-two".