10766214144 has 396 divisors, whose sum is σ = 37544501904. Its totient is φ = 3072577536.

The previous prime is 10766214143. The next prime is 10766214167. The reversal of 10766214144 is 44141266701.

It is a happy number.

10766214144 is a `hidden beast` number, since 10 + 7 + 6 + 621 + 4 + 14 + 4 = 666.

It is a super-2 number, since 2×10766214144² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10766214099 and 10766214108.

It is not an unprimeable number, because it can be changed into a prime (10766214143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12192327 + ... + 12193209.

Almost surely, 2^10766214144 is an apocalyptic number.

10766214144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10766214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772250952).

10766214144 is an abundant number, since it is smaller than the sum of its proper divisors (26778287760).

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

10766214144 is an frugal number, since it uses more digits than its factorization.

10766214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10766214144 in words is "ten billion, seven hundred sixty-six million, two hundred fourteen thousand, one hundred forty-four".