211515983499456 has 672 divisors, whose sum is σ = 666352544457600. Its totient is φ = 63942206423040.

The previous prime is 211515983499409. The next prime is 211515983499481. The reversal of 211515983499456 is 654994389515112.

211515983499456 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 1 + 5 + 9 + 83 + 4 + 99 + 456 = 666.

It is a super-2 number, since 2×211515983499456² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 18670308000 + ... + 18670319328.

It is an arithmetic number, because the mean of its divisors is an integer number (991596048300).

Almost surely, 2^{211515983499456} 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 211515983499456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333176272228800).

211515983499456 is an abundant number, since it is smaller than the sum of its proper divisors (454836560958144).

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

211515983499456 is a wasteful number, since it uses less digits than its factorization.

211515983499456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12377 (or 12364 counting only the distinct ones).

The product of its digits is 419904000, while the sum is 72.

The spelling of 211515983499456 in words is "two hundred eleven trillion, five hundred fifteen billion, nine hundred eighty-three million, four hundred ninety-nine thousand, four hundred fifty-six".