1013623123968 has 1872 divisors, whose sum is σ = 4071282948096. Its totient is φ = 245089566720.

The previous prime is 1013623123901. The next prime is 1013623124069. The reversal of 1013623123968 is 8693213263101.

1013623123968 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 623 + 12 + 3 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32697520113 + ... + 32697520143.

Almost surely, 2^{1013623123968} is an apocalyptic number.

1013623123968 is a gapful number since it is divisible by the number (18) 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 1013623123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035641474048).

1013623123968 is an abundant number, since it is smaller than the sum of its proper divisors (3057659824128).

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

1013623123968 is an equidigital number, since it uses as much as digits as its factorization.

1013623123968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1013623123968 in words is "one trillion, thirteen billion, six hundred twenty-three million, one hundred twenty-three thousand, nine hundred sixty-eight".