10166616465408 has 1344 divisors, whose sum is σ = 34100221034880. Its totient is φ = 2896611508224.

The previous prime is 10166616465403. The next prime is 10166616465409. The reversal of 10166616465408 is 80456461666101.

It is not an unprimeable number, because it can be changed into a prime (10166616465403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89970057160 + ... + 89970057272.

It is an arithmetic number, because the mean of its divisors is an integer number (25372188270).

Almost surely, 2^{10166616465408} is an apocalyptic number.

10166616465408 is a gapful number since it is divisible by the number (18) 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 10166616465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050110517440).

10166616465408 is an abundant number, since it is smaller than the sum of its proper divisors (23933604569472).

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

10166616465408 is a wasteful number, since it uses less digits than its factorization.

10166616465408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 10166616465408 in words is "ten trillion, one hundred sixty-six billion, six hundred sixteen million, four hundred sixty-five thousand, four hundred eight".