1023106460688 has 60 divisors (see below), whose sum is σ = 3083529199660. Its totient is φ = 314801987328.

The previous prime is 1023106460657. The next prime is 1023106460699. The reversal of 1023106460688 is 8860646013201.

1023106460688 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 106 + 460 + 6 + 88 = 666.

1023106460688 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 83075379984 + 940031080704 = 288228^2 + 969552^2 .

It is a super-3 number, since 3×1023106460688³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273263743 + ... + 273267486.

Almost surely, 2^{1023106460688} is an apocalyptic number.

1023106460688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1023106460688 is an abundant number, since it is smaller than the sum of its proper divisors (2060422738972).

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

1023106460688 is a wasteful number, since it uses less digits than its factorization.

1023106460688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546531256 (or 546531247 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1023106460688 in words is "one trillion, twenty-three billion, one hundred six million, four hundred sixty thousand, six hundred eighty-eight".