10923790464 has 128 divisors (see below), whose sum is σ = 32284224000. Its totient is φ = 3636311040.

The previous prime is 10923790459. The next prime is 10923790511. The reversal of 10923790464 is 46409732901.

It is a happy number.

10923790464 is a `hidden beast` number, since 10 + 92 + 3 + 7 + 90 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3250417 + ... + 3253775.

It is an arithmetic number, because the mean of its divisors is an integer number (252220500).

Almost surely, 2^10923790464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10923790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16142112000).

10923790464 is an abundant number, since it is smaller than the sum of its proper divisors (21360433536).

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

10923790464 is an equidigital number, since it uses as much as digits as its factorization.

10923790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10923790464 in words is "ten billion, nine hundred twenty-three million, seven hundred ninety thousand, four hundred sixty-four".