10064414346600 has 192 divisors, whose sum is σ = 31320367064640. Its totient is φ = 2673467596800.

The previous prime is 10064414346587. The next prime is 10064414346653. The reversal of 10064414346600 is 664341446001.

It is a super-2 number, since 2×10064414346600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1283558680 + ... + 1283566520.

It is an arithmetic number, because the mean of its divisors is an integer number (163126911795).

Almost surely, 2^{10064414346600} is an apocalyptic number.

10064414346600 is a gapful number since it is divisible by the number (10) 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 10064414346600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660183532320).

10064414346600 is an abundant number, since it is smaller than the sum of its proper divisors (21255952718040).

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

10064414346600 is a wasteful number, since it uses less digits than its factorization.

10064414346600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15860 (or 15851 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 10064414346600 in words is "ten trillion, sixty-four billion, four hundred fourteen million, three hundred forty-six thousand, six hundred".