18157228876900 has 243 divisors, whose sum is σ = 42701125349547. Its totient is φ = 6700541702400.

The previous prime is 18157228876873. The next prime is 18157228877003. The reversal of 18157228876900 is 967882275181.

The square root of 18157228876900 is 4261130.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7642670353444 + 10514558523456 = 2764538^2 + 3242616^2 .

It is a super-2 number, since 2×18157228876900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33194202427 + ... + 33194202973.

Almost surely, 2^{18157228876900} is an apocalyptic number.

18157228876900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18157228876900 is the 4261130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18157228876900

18157228876900 is an abundant number, since it is smaller than the sum of its proper divisors (24543896472647).

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

18157228876900 is an equidigital number, since it uses as much as digits as its factorization.

18157228876900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 64.

The spelling of 18157228876900 in words is "eighteen trillion, one hundred fifty-seven billion, two hundred twenty-eight million, eight hundred seventy-six thousand, nine hundred".