11077141504 has 297 divisors, whose sum is σ = 27551528949. Its totient is φ = 4445675520.

The previous prime is 11077141501. The next prime is 11077141507. The reversal of 11077141504 is 40514177011.

The square root of 11077141504 is 105248.

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

It is an interprime number because it is at equal distance from previous prime (11077141501) and next prime (11077141507).

It can be written as a sum of positive squares in only one way, i.e., 1638630400 + 9438511104 = 40480^2 + 97152^2 .

It is not an unprimeable number, because it can be changed into a prime (11077141501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 481614837 + ... + 481614859.

Almost surely, 2^11077141504 is an apocalyptic number.

11077141504 is the 105248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11077141504

11077141504 is an abundant number, since it is smaller than the sum of its proper divisors (16474387445).

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

11077141504 is a wasteful number, since it uses less digits than its factorization.

11077141504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The spelling of 11077141504 in words is "eleven billion, seventy-seven million, one hundred forty-one thousand, five hundred four".