1144953500625 has 135 divisors (see below), whose sum is σ = 2273321993943. Its totient is φ = 554700960000.

The previous prime is 1144953500569. The next prime is 1144953500629. The reversal of 1144953500625 is 5260053594411.

It is a happy number.

The square root of 1144953500625 is 1070025.

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

1144953500625 is a `hidden beast` number, since 1 + 14 + 4 + 9 + 5 + 3 + 5 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 126856356561 + 1018097144064 = 356169^2 + 1009008^2 .

It is not a de Polignac number, because 1144953500625 - 2¹³ = 1144953492433 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1144953500629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 882769977 + ... + 882771273.

Almost surely, 2^{1144953500625} is an apocalyptic number.

1144953500625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1144953500625 is the 1070025-th square number.

1144953500625 is the 535013-rd centered octagonal number.

It is an amenable number.

1144953500625 is a deficient number, since it is larger than the sum of its proper divisors (1128368493318).

1144953500625 is an frugal number, since it uses more digits than its factorization.

1144953500625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1144953500625 in words is "one trillion, one hundred forty-four billion, nine hundred fifty-three million, five hundred thousand, six hundred twenty-five".