1250566550144 has 64 divisors (see below), whose sum is σ = 2522261049000. Its totient is φ = 617565192192.

The previous prime is 1250566550141. The next prime is 1250566550203. The reversal of 1250566550144 is 4410556650521.

It can be written as a sum of positive squares in 4 ways, for example, as 1159067560000 + 91498990144 = 1076600^2 + 302488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1250566550095 and 1250566550104.

It is not an unprimeable number, because it can be changed into a prime (1250566550141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4223792 + ... + 4510160.

Almost surely, 2^{1250566550144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1250566550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261130524500).

1250566550144 is an abundant number, since it is smaller than the sum of its proper divisors (1271694498856).

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

1250566550144 is a wasteful number, since it uses less digits than its factorization.

1250566550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286805 (or 286793 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 44.

The spelling of 1250566550144 in words is "one trillion, two hundred fifty billion, five hundred sixty-six million, five hundred fifty thousand, one hundred forty-four".