10677923246232 has 768 divisors, whose sum is σ = 34611115968000. Its totient is φ = 2939153817600.

The previous prime is 10677923246231. The next prime is 10677923246233. The reversal of 10677923246232 is 23264232977601.

It is a happy number.

10677923246232 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 7 + 9 + 2 + 3 + 2 + 4 + 623 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10677923246231) and next prime (10677923246233).

It is a super-2 number, since 2×10677923246232² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10677923246231) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9041424682 + ... + 9041425862.

It is an arithmetic number, because the mean of its divisors is an integer number (45066557250).

Almost surely, 2^{10677923246232} is an apocalyptic number.

10677923246232 is a gapful number since it is divisible by the number (12) 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 10677923246232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17305557984000).

10677923246232 is an abundant number, since it is smaller than the sum of its proper divisors (23933192721768).

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

10677923246232 is a wasteful number, since it uses less digits than its factorization.

10677923246232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 10677923246232 in words is "ten trillion, six hundred seventy-seven billion, nine hundred twenty-three million, two hundred forty-six thousand, two hundred thirty-two".