11171644416 has 165 divisors, whose sum is σ = 33451863159. Its totient is φ = 3713734656.

The previous prime is 11171644409. The next prime is 11171644487. The reversal of 11171644416 is 61444617111.

The square root of 11171644416 is 105696.

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

11171644416 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 1 + 644 + 4 + 1 + 6 = 666.

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 14 ways as a sum of consecutive naturals, for example, 30440265 + ... + 30440631.

Almost surely, 2^11171644416 is an apocalyptic number.

11171644416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11171644416 is the 105696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11171644416

11171644416 is an abundant number, since it is smaller than the sum of its proper divisors (22280218743).

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

11171644416 is an frugal number, since it uses more digits than its factorization.

11171644416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 372 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

Multiplying 11171644416 by its sum of digits (36), we get a square (402179198976 = 634176²).

11171644416 divided by its sum of digits (36) gives a square (310323456 = 17616²).

The spelling of 11171644416 in words is "eleven billion, one hundred seventy-one million, six hundred forty-four thousand, four hundred sixteen".