1483134265600 has 243 divisors, whose sum is σ = 3978492162939. Its totient is φ = 547151155200.

The previous prime is 1483134265573. The next prime is 1483134265603. The reversal of 1483134265600 is 65624313841.

The square root of 1483134265600 is 1217840.

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 382280050944 + 1100854214656 = 618288^2 + 1049216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1483134265603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1266553015 + ... + 1266554185.

Almost surely, 2^{1483134265600} is an apocalyptic number.

1483134265600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1483134265600 is the 1217840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1483134265600

1483134265600 is an abundant number, since it is smaller than the sum of its proper divisors (2495357897339).

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

1483134265600 is an frugal number, since it uses more digits than its factorization.

1483134265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 1483134265600 in words is "one trillion, four hundred eighty-three billion, one hundred thirty-four million, two hundred sixty-five thousand, six hundred".