208131296208048 has 400 divisors, whose sum is σ = 645439527321600. Its totient is φ = 64552071467520.

The previous prime is 208131296207929. The next prime is 208131296208049. The reversal of 208131296208048 is 840802692131802.

208131296208048 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 3 + 1 + 2 + 9 + 620 + 8 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×208131296208048² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 208131296207985 and 208131296208003.

It is not an unprimeable number, because it can be changed into a prime (208131296208049) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1587862353 + ... + 1587993423.

It is an arithmetic number, because the mean of its divisors is an integer number (1613598818304).

Almost surely, 2^{208131296208048} 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 208131296208048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322719763660800).

208131296208048 is an abundant number, since it is smaller than the sum of its proper divisors (437308231113552).

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

208131296208048 is a wasteful number, since it uses less digits than its factorization.

208131296208048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132262 (or 132247 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 208131296208048 in words is "two hundred eight trillion, one hundred thirty-one billion, two hundred ninety-six million, two hundred eight thousand, forty-eight".