11667456256 has 81 divisors (see below), whose sum is σ = 23996381661. Its totient is φ = 5661766656.

The previous prime is 11667456253. The next prime is 11667456259. The reversal of 11667456256 is 65265476611.

The square root of 11667456256 is 108016.

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 (11667456253) and next prime (11667456259).

It can be written as a sum of positive squares in only one way, i.e., 3419910400 + 8247545856 = 58480^2 + 90816^2 .

It is a super-2 number, since 2×11667456256² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11667456253) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74314930 + ... + 74315086.

Almost surely, 2^11667456256 is an apocalyptic number.

11667456256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11667456256 is the 108016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11667456256

11667456256 is an abundant number, since it is smaller than the sum of its proper divisors (12328925405).

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

11667456256 is an frugal number, since it uses more digits than its factorization.

11667456256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 202 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 49.

Multiplying 11667456256 by its sum of digits (49), we get a square (571705356544 = 756112²).

The spelling of 11667456256 in words is "eleven billion, six hundred sixty-seven million, four hundred fifty-six thousand, two hundred fifty-six".