19231645452100 has 81 divisors (see below), whose sum is σ = 44046638296311. Its totient is φ = 7287465686400.

The previous prime is 19231645452073. The next prime is 19231645452163. The reversal of 19231645452100 is 125454613291.

It is a happy number.

The square root of 19231645452100 is 4385390.

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 453567228676 + 18778078223424 = 673474^2 + 4333368^2 .

It is a super-2 number, since 2×19231645452100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 833212560 + ... + 833235640.

Almost surely, 2^{19231645452100} is an apocalyptic number.

19231645452100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19231645452100 is the 4385390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19231645452100

19231645452100 is an abundant number, since it is smaller than the sum of its proper divisors (24814992844211).

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

19231645452100 is an frugal number, since it uses more digits than its factorization.

19231645452100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46214 (or 23107 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 19231645452100 in words is "nineteen trillion, two hundred thirty-one billion, six hundred forty-five million, four hundred fifty-two thousand, one hundred".