10812342464 has 224 divisors, whose sum is σ = 28928202240. Its totient is φ = 3881779200.

The previous prime is 10812342449. The next prime is 10812342473. The reversal of 10812342464 is 46424321801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3462824 + ... + 3465944.

It is an arithmetic number, because the mean of its divisors is an integer number (129143760).

Almost surely, 2^10812342464 is an apocalyptic number.

10812342464 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 10812342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14464101120).

10812342464 is an abundant number, since it is smaller than the sum of its proper divisors (18115859776).

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

10812342464 is a wasteful number, since it uses less digits than its factorization.

10812342464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 10812342464 in words is "ten billion, eight hundred twelve million, three hundred forty-two thousand, four hundred sixty-four".