208739623831552 has 288 divisors, whose sum is σ = 486172837757880. Its totient is φ = 89223856128000.

The previous prime is 208739623831547. The next prime is 208739623831579. The reversal of 208739623831552 is 255138326937802.

It can be written as a sum of positive squares in 4 ways, for example, as 118634269828096 + 90105354003456 = 10891936^2 + 9492384^2 .

It is a super-2 number, since 2×208739623831552² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5059475308 + ... + 5059516564.

Almost surely, 2^{208739623831552} is an apocalyptic number.

208739623831552 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 208739623831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243086418878940).

208739623831552 is an abundant number, since it is smaller than the sum of its proper divisors (277433213926328).

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

208739623831552 is a wasteful number, since it uses less digits than its factorization.

208739623831552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42519 (or 42488 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 64.

The spelling of 208739623831552 in words is "two hundred eight trillion, seven hundred thirty-nine billion, six hundred twenty-three million, eight hundred thirty-one thousand, five hundred fifty-two".