10606468230144 has 352 divisors, whose sum is σ = 31873782631680. Its totient is φ = 3527178670080.

The previous prime is 10606468230107. The next prime is 10606468230257. The reversal of 10606468230144 is 44103286460601.

10606468230144 is a `hidden beast` number, since 1 + 0 + 606 + 4 + 6 + 8 + 2 + 30 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×10606468230144² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10606468230144.

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, 992087839 + ... + 992098529.

It is an arithmetic number, because the mean of its divisors is an integer number (90550518840).

Almost surely, 2^{10606468230144} 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 10606468230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936891315840).

10606468230144 is an abundant number, since it is smaller than the sum of its proper divisors (21267314401536).

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

10606468230144 is an frugal number, since it uses more digits than its factorization.

10606468230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11175 (or 11139 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 10606468230144 in words is "ten trillion, six hundred six billion, four hundred sixty-eight million, two hundred thirty thousand, one hundred forty-four".