211928634078336 has 960 divisors, whose sum is σ = 742082503124160. Its totient is φ = 59860394496000.

The previous prime is 211928634078323. The next prime is 211928634078341. The reversal of 211928634078336 is 633870436829112.

It is a happy number.

211928634078336 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 286 + 340 + 7 + 8 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16186401006 + ... + 16186414098.

It is an arithmetic number, because the mean of its divisors is an integer number (773002607421).

Almost surely, 2^{211928634078336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211928634078336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371041251562080).

211928634078336 is an abundant number, since it is smaller than the sum of its proper divisors (530153869045824).

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

211928634078336 is a wasteful number, since it uses less digits than its factorization.

211928634078336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13495 (or 13467 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 211928634078336 in words is "two hundred eleven trillion, nine hundred twenty-eight billion, six hundred thirty-four million, seventy-eight thousand, three hundred thirty-six".