23034348040704 has 1280 divisors, whose sum is σ = 86501983518720. Its totient is φ = 5253341184000.

The previous prime is 23034348040661. The next prime is 23034348040709. The reversal of 23034348040704 is 40704084343032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (23034348040709) 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, 2812149249 + ... + 2812157439.

It is an arithmetic number, because the mean of its divisors is an integer number (67579674624).

Almost surely, 2^{23034348040704} is an apocalyptic number.

23034348040704 is a gapful number since it is divisible by the number (24) 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 23034348040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43250991759360).

23034348040704 is an abundant number, since it is smaller than the sum of its proper divisors (63467635478016).

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

23034348040704 is a wasteful number, since it uses less digits than its factorization.

23034348040704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8333 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 42.

The spelling of 23034348040704 in words is "twenty-three trillion, thirty-four billion, three hundred forty-eight million, forty thousand, seven hundred four".