10464616416 has 24 divisors (see below), whose sum is σ = 27469618344. Its totient is φ = 3488205440.

The previous prime is 10464616399. The next prime is 10464616417. The reversal of 10464616416 is 61461646401.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10464616417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54503115 + ... + 54503306.

It is an arithmetic number, because the mean of its divisors is an integer number (1144567431).

Almost surely, 2^10464616416 is an apocalyptic number.

10464616416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10464616416 is an abundant number, since it is smaller than the sum of its proper divisors (17005001928).

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

10464616416 is a wasteful number, since it uses less digits than its factorization.

10464616416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109006434 (or 109006426 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 10464616416 in words is "ten billion, four hundred sixty-four million, six hundred sixteen thousand, four hundred sixteen".