11251140649984 has 99 divisors (see below), whose sum is σ = 23123757945267. Its totient is φ = 5471595823104.

The previous prime is 11251140649981. The next prime is 11251140649993. The reversal of 11251140649984 is 48994604115211.

The square root of 11251140649984 is 3354272.

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 1299891856384 + 9951248793600 = 1140128^2 + 3154560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11251140649981) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3971456632 + ... + 3971459464.

Almost surely, 2^{11251140649984} is an apocalyptic number.

11251140649984 is the 3354272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11251140649984

11251140649984 is an abundant number, since it is smaller than the sum of its proper divisors (11872617295283).

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

11251140649984 is an frugal number, since it uses more digits than its factorization.

11251140649984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 11251140649984 in words is "eleven trillion, two hundred fifty-one billion, one hundred forty million, six hundred forty-nine thousand, nine hundred eighty-four".