10946182464 has 168 divisors, whose sum is σ = 36363420288. Its totient is φ = 3083351040.

The previous prime is 10946182447. The next prime is 10946182483. The reversal of 10946182464 is 46428164901.

10946182464 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 6 + 182 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10946182464² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267154 + ... + 305390.

Almost surely, 2^10946182464 is an apocalyptic number.

10946182464 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 10946182464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18181710144).

10946182464 is an abundant number, since it is smaller than the sum of its proper divisors (25417237824).

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

10946182464 is a wasteful number, since it uses less digits than its factorization.

10946182464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38333 (or 38320 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10946182464 in words is "ten billion, nine hundred forty-six million, one hundred eighty-two thousand, four hundred sixty-four".