11404156016016 has 135 divisors (see below), whose sum is σ = 32047555200843. Its totient is φ = 3785756564160.

The previous prime is 11404156016009. The next prime is 11404156016051. The reversal of 11404156016016 is 61061065140411.

The square root of 11404156016016 is 3377004.

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

11404156016016 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 41 + 5 + 6 + 0 + 1 + 601 + 6 = 666.

11404156016016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14061844251 + ... + 14061845061.

Almost surely, 2^{11404156016016} is an apocalyptic number.

11404156016016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11404156016016 is the 3377004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11404156016016

11404156016016 is an abundant number, since it is smaller than the sum of its proper divisors (20643399184827).

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

11404156016016 is an frugal number, since it uses more digits than its factorization.

11404156016016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 11404156016016 by its sum of digits (36), we get a square (410549616576576 = 20262024²).

11404156016016 divided by its sum of digits (36) gives a square (316782111556 = 562834²).

The spelling of 11404156016016 in words is "eleven trillion, four hundred four billion, one hundred fifty-six million, sixteen thousand, sixteen".