1455232068900 has 243 divisors, whose sum is σ = 4628907559731. Its totient is φ = 382396959360.

The previous prime is 1455232068893. The next prime is 1455232068931. The reversal of 1455232068900 is 98602325541.

The square root of 1455232068900 is 1206330.

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

1455232068900 is a `hidden beast` number, since 1 + 4 + 552 + 3 + 2 + 0 + 6 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55496994084 + 1399735074816 = 235578^2 + 1183104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2859001846 + ... + 2859002354.

Almost surely, 2^{1455232068900} is an apocalyptic number.

1455232068900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1455232068900 is the 1206330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1455232068900

1455232068900 is an abundant number, since it is smaller than the sum of its proper divisors (3173675490831).

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

1455232068900 is an equidigital number, since it uses as much as digits as its factorization.

1455232068900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1455232068900 in words is "one trillion, four hundred fifty-five billion, two hundred thirty-two million, sixty-eight thousand, nine hundred".