10146871960416 has 384 divisors, whose sum is σ = 30910931251200. Its totient is φ = 3234608640000.

The previous prime is 10146871960397. The next prime is 10146871960429. The reversal of 10146871960416 is 61406917864101.

It is a happy number.

10146871960416 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 8 + 7 + 19 + 604 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1544656780 + ... + 1544663348.

It is an arithmetic number, because the mean of its divisors is an integer number (80497216800).

Almost surely, 2^{10146871960416} is an apocalyptic number.

10146871960416 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 10146871960416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15455465625600).

10146871960416 is an abundant number, since it is smaller than the sum of its proper divisors (20764059290784).

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

10146871960416 is a wasteful number, since it uses less digits than its factorization.

10146871960416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7291 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10146871960416 in words is "ten trillion, one hundred forty-six billion, eight hundred seventy-one million, nine hundred sixty thousand, four hundred sixteen".