10464601056 has 384 divisors, whose sum is σ = 36968472576. Its totient is φ = 2512650240.

The previous prime is 10464601051. The next prime is 10464601061. The reversal of 10464601056 is 65010646401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10464601051) and next prime (10464601061).

It is a super-2 number, since 2×10464601056² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10464601051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4602736 + ... + 4605008.

It is an arithmetic number, because the mean of its divisors is an integer number (96272064).

Almost surely, 2^10464601056 is an apocalyptic number.

10464601056 is a gapful number since it is divisible by the number (16) 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 10464601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18484236288).

10464601056 is an abundant number, since it is smaller than the sum of its proper divisors (26503871520).

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

10464601056 is a wasteful number, since it uses less digits than its factorization.

10464601056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 10464601056 in words is "ten billion, four hundred sixty-four million, six hundred one thousand, fifty-six".