11706782464 has 144 divisors (see below), whose sum is σ = 26479643904. Its totient is φ = 5127782400.

The previous prime is 11706782441. The next prime is 11706782467. The reversal of 11706782464 is 46428760711.

It is a super-2 number, since 2×11706782464² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11706782467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5466834 + ... + 5468974.

It is an arithmetic number, because the mean of its divisors is an integer number (183886416).

Almost surely, 2^11706782464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11706782464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13239821952).

11706782464 is an abundant number, since it is smaller than the sum of its proper divisors (14772861440).

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

11706782464 is a wasteful number, since it uses less digits than its factorization.

11706782464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 11706782464 in words is "eleven billion, seven hundred six million, seven hundred eighty-two thousand, four hundred sixty-four".