1988353808100 has 243 divisors, whose sum is σ = 6852075845979. Its totient is φ = 481912358400.

The previous prime is 1988353808083. The next prime is 1988353808153. The reversal of 1988353808100 is 18083538891.

The square root of 1988353808100 is 1410090.

It is a perfect power (a square), and thus also a powerful number.

1988353808100 is a `hidden beast` number, since 1 + 98 + 8 + 3 + 538 + 0 + 8 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 273029240484 + 1715324567616 = 522522^2 + 1309704^2 .

It is a super-2 number, since 2×1988353808100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 465327564 + ... + 465331836.

Almost surely, 2^{1988353808100} is an apocalyptic number.

1988353808100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1988353808100 is the 1410090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1988353808100

1988353808100 is an abundant number, since it is smaller than the sum of its proper divisors (4863722037879).

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

1988353808100 is a wasteful number, since it uses less digits than its factorization.

1988353808100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1988353808100 in words is "one trillion, nine hundred eighty-eight billion, three hundred fifty-three million, eight hundred eight thousand, one hundred".