10023112010064 has 160 divisors (see below), whose sum is σ = 27594328453120. Its totient is φ = 3126048920064.

The previous prime is 10023112010003. The next prime is 10023112010071. The reversal of 10023112010064 is 46001021132001.

It is a self number, because there is not a number n which added to its sum of digits gives 10023112010064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34895097 + ... + 35181159.

It is an arithmetic number, because the mean of its divisors is an integer number (172464552832).

Almost surely, 2^{10023112010064} 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 10023112010064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13797164226560).

10023112010064 is an abundant number, since it is smaller than the sum of its proper divisors (17571216443056).

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

10023112010064 is a wasteful number, since it uses less digits than its factorization.

10023112010064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286569 (or 286563 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10023112010064 its reverse (46001021132001), we get a palindrome (56024133142065).

The spelling of 10023112010064 in words is "ten trillion, twenty-three billion, one hundred twelve million, ten thousand, sixty-four".