208946366112 has 288 divisors, whose sum is σ = 621087409152. Its totient is φ = 61422592000.

The previous prime is 208946366089. The next prime is 208946366137. The reversal of 208946366112 is 211663649802.

It is a super-2 number, since 2×208946366112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90963748 + ... + 90966044.

It is an arithmetic number, because the mean of its divisors is an integer number (2156553504).

Almost surely, 2^208946366112 is an apocalyptic number.

208946366112 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 208946366112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310543704576).

208946366112 is an abundant number, since it is smaller than the sum of its proper divisors (412141043040).

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

208946366112 is a wasteful number, since it uses less digits than its factorization.

208946366112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 208946366112 in words is "two hundred eight billion, nine hundred forty-six million, three hundred sixty-six thousand, one hundred twelve".