211303049379408 has 600 divisors, whose sum is σ = 764797559644800. Its totient is φ = 55977884476416.

The previous prime is 211303049379407. The next prime is 211303049379431. The reversal of 211303049379408 is 804973940303112.

211303049379408 is a `hidden beast` number, since 2 + 1 + 1 + 30 + 30 + 493 + 7 + 94 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211303049379407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 54846028 + ... + 58572116.

It is an arithmetic number, because the mean of its divisors is an integer number (1274662599408).

Almost surely, 2^{211303049379408} is an apocalyptic number.

211303049379408 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 211303049379408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382398779822400).

211303049379408 is an abundant number, since it is smaller than the sum of its proper divisors (553494510265392).

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

211303049379408 is a wasteful number, since it uses less digits than its factorization.

211303049379408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726189 (or 3726167 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 211303049379408 in words is "two hundred eleven trillion, three hundred three billion, forty-nine million, three hundred seventy-nine thousand, four hundred eight".