10046399152128 has 256 divisors, whose sum is σ = 29426200646400. Its totient is φ = 3034597294080.

The previous prime is 10046399152091. The next prime is 10046399152177. The reversal of 10046399152128 is 82125199364001.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42841918 + ... + 43075778.

It is an arithmetic number, because the mean of its divisors is an integer number (114946096275).

Almost surely, 2^{10046399152128} 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 10046399152128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14713100323200).

10046399152128 is an abundant number, since it is smaller than the sum of its proper divisors (19379801494272).

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

10046399152128 is an equidigital number, since it uses as much as digits as its factorization.

10046399152128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233936 (or 233908 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 10046399152128 in words is "ten trillion, forty-six billion, three hundred ninety-nine million, one hundred fifty-two thousand, one hundred twenty-eight".