10946089152 has 168 divisors, whose sum is σ = 32086881216. Its totient is φ = 3566444544.

The previous prime is 10946089151. The next prime is 10946089153. The reversal of 10946089152 is 25198064901.

10946089152 is a `hidden beast` number, since 109 + 460 + 89 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10946089151) and next prime (10946089153).

It is a junction number, because it is equal to n+sod(n) for n = 10946089098 and 10946089107.

It is not an unprimeable number, because it can be changed into a prime (10946089151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11203288 + ... + 11204264.

Almost surely, 2^10946089152 is an apocalyptic number.

10946089152 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 10946089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16043440608).

10946089152 is an abundant number, since it is smaller than the sum of its proper divisors (21140792064).

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

10946089152 is a wasteful number, since it uses less digits than its factorization.

10946089152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10946089152 in words is "ten billion, nine hundred forty-six million, eighty-nine thousand, one hundred fifty-two".