2023345104000 has 512 divisors, whose sum is σ = 7324856248320. Its totient is φ = 489991680000.

The previous prime is 2023345103999. The next prime is 2023345104017. The reversal of 2023345104000 is 4015433202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 808366749 + ... + 808369251.

It is an arithmetic number, because the mean of its divisors is an integer number (14306359860).

Almost surely, 2^{2023345104000} is an apocalyptic number.

2023345104000 is a gapful number since it is divisible by the number (20) 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 2023345104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662428124160).

2023345104000 is an abundant number, since it is smaller than the sum of its proper divisors (5301511144320).

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

2023345104000 is a wasteful number, since it uses less digits than its factorization.

2023345104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 2023345104000 in words is "two trillion, twenty-three billion, three hundred forty-five million, one hundred four thousand".