11038315180816 has 675 divisors, whose sum is σ = 29102520478983. Its totient is φ = 4052259953280.

The previous prime is 11038315180813. The next prime is 11038315180859. The reversal of 11038315180816 is 61808151383011.

The square root of 11038315180816 is 3322396.

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

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (11038315180813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 164750972815 + ... + 164750972881.

Almost surely, 2^{11038315180816} is an apocalyptic number.

11038315180816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11038315180816 is the 3322396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11038315180816

11038315180816 is an abundant number, since it is smaller than the sum of its proper divisors (18064205298167).

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

11038315180816 is an frugal number, since it uses more digits than its factorization.

11038315180816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 46.

The spelling of 11038315180816 in words is "eleven trillion, thirty-eight billion, three hundred fifteen million, one hundred eighty thousand, eight hundred sixteen".