10906460352 has 224 divisors, whose sum is σ = 32927178240. Its totient is φ = 3538805760.

The previous prime is 10906460339. The next prime is 10906460423. The reversal of 10906460352 is 25306460901.

It is a happy number.

10906460352 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 646 + 0 + 3 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11278173 + ... + 11279139.

Almost surely, 2^10906460352 is an apocalyptic number.

10906460352 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 10906460352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16463589120).

10906460352 is an abundant number, since it is smaller than the sum of its proper divisors (22020717888).

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

10906460352 is a wasteful number, since it uses less digits than its factorization.

10906460352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10906460352 in words is "ten billion, nine hundred six million, four hundred sixty thousand, three hundred fifty-two".