211454923680 has 1536 divisors, whose sum is σ = 1005171793920. Its totient is φ = 40091811840.

The previous prime is 211454923661. The next prime is 211454923727. The reversal of 211454923680 is 86329454112.

211454923680 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 549 + 23 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 462702012 + ... + 462702468.

It is an arithmetic number, because the mean of its divisors is an integer number (654408720).

Almost surely, 2^211454923680 is an apocalyptic number.

211454923680 is a gapful number since it is divisible by the number (20) 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 211454923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502585896960).

211454923680 is an abundant number, since it is smaller than the sum of its proper divisors (793716870240).

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

211454923680 is a wasteful number, since it uses less digits than its factorization.

211454923680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 211454923680 in words is "two hundred eleven billion, four hundred fifty-four million, nine hundred twenty-three thousand, six hundred eighty".