1450169892900 has 243 divisors, whose sum is σ = 4594578782521. Its totient is φ = 382579054080.

The previous prime is 1450169892889. The next prime is 1450169892911. The reversal of 1450169892900 is 92989610541.

The square root of 1450169892900 is 1204230.

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

1450169892900 is a `hidden beast` number, since 1 + 450 + 16 + 9 + 8 + 92 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1450169892889) and next prime (1450169892911).

It can be written as a sum of positive squares in 13 ways, for example, as 117198044964 + 1332971847936 = 342342^2 + 1154544^2 .

It is a Duffinian number.

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, 4949385154 + ... + 4949385446.

Almost surely, 2^{1450169892900} is an apocalyptic number.

1450169892900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1450169892900 is the 1204230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450169892900

1450169892900 is an abundant number, since it is smaller than the sum of its proper divisors (3144408889621).

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

1450169892900 is a wasteful number, since it uses less digits than its factorization.

1450169892900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1450169892900 in words is "one trillion, four hundred fifty billion, one hundred sixty-nine million, eight hundred ninety-two thousand, nine hundred".