208042678222848 has 3808 divisors, whose sum is σ = 827821652714496. Its totient is φ = 50854795149312.

The previous prime is 208042678222793. The next prime is 208042678222853. The reversal of 208042678222848 is 848222876240802.

208042678222848 is a `hidden beast` number, since 2 + 0 + 80 + 426 + 78 + 2 + 2 + 28 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (3808).

It is a super-2 number, since 2×208042678222848² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4838201819115 + ... + 4838201819157.

Almost surely, 2^{208042678222848} is an apocalyptic number.

208042678222848 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 208042678222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413910826357248).

208042678222848 is an abundant number, since it is smaller than the sum of its proper divisors (619778974491648).

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

208042678222848 is an frugal number, since it uses more digits than its factorization.

208042678222848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 88080384, while the sum is 63.

The spelling of 208042678222848 in words is "two hundred eight trillion, forty-two billion, six hundred seventy-eight million, two hundred twenty-two thousand, eight hundred forty-eight".