208016870472000 has 1344 divisors, whose sum is σ = 780573197214720. Its totient is φ = 54834796800000.

The previous prime is 208016870471947. The next prime is 208016870472007. The reversal of 208016870472000 is 274078610802.

208016870472000 is a `hidden beast` number, since 20 + 80 + 1 + 6 + 87 + 0 + 472 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208016870472007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67824214467 + ... + 67824217533.

It is an arithmetic number, because the mean of its divisors is an integer number (580783628880).

Almost surely, 2^{208016870472000} is an apocalyptic number.

208016870472000 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 208016870472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390286598607360).

208016870472000 is an abundant number, since it is smaller than the sum of its proper divisors (572556326742720).

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

208016870472000 is a wasteful number, since it uses less digits than its factorization.

208016870472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 208016870472000 in words is "two hundred eight trillion, sixteen billion, eight hundred seventy million, four hundred seventy-two thousand".