208956152064 has 288 divisors, whose sum is σ = 622014382080. Its totient is φ = 61737984000.

The previous prime is 208956152039. The next prime is 208956152089. The reversal of 208956152064 is 460251659802.

It is an interprime number because it is at equal distance from previous prime (208956152039) and next prime (208956152089).

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 31 ways as a sum of consecutive naturals, for example, 63299214 + ... + 63302514.

It is an arithmetic number, because the mean of its divisors is an integer number (2159772160).

Almost surely, 2^208956152064 is an apocalyptic number.

208956152064 is a gapful number since it is divisible by the number (24) 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 208956152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311007191040).

208956152064 is an abundant number, since it is smaller than the sum of its proper divisors (413058230016).

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

208956152064 is a wasteful number, since it uses less digits than its factorization.

208956152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 208956152064 in words is "two hundred eight billion, nine hundred fifty-six million, one hundred fifty-two thousand, sixty-four".