10146031533768 has 512 divisors, whose sum is σ = 30427052544000. Its totient is φ = 2789267374080.

The previous prime is 10146031533767. The next prime is 10146031533793. The reversal of 10146031533768 is 86733513064101.

It is a super-3 number, since 3×10146031533768³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10146031533761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5254287763 + ... + 5254289693.

It is an arithmetic number, because the mean of its divisors is an integer number (59427837000).

Almost surely, 2^{10146031533768} 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 10146031533768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213526272000).

10146031533768 is an abundant number, since it is smaller than the sum of its proper divisors (20281021010232).

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

10146031533768 is a wasteful number, since it uses less digits than its factorization.

10146031533768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

Adding to 10146031533768 its reverse (86733513064101), we get a palindrome (96879544597869).

The spelling of 10146031533768 in words is "ten trillion, one hundred forty-six billion, thirty-one million, five hundred thirty-three thousand, seven hundred sixty-eight".