23241414211344 has 240 divisors, whose sum is σ = 78910676357760. Its totient is φ = 6233723965440.

The previous prime is 23241414211339. The next prime is 23241414211391. The reversal of 23241414211344 is 44311241414232.

23241414211344 is a `hidden beast` number, since 2 + 3 + 24 + 1 + 414 + 211 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23241414211299 and 23241414211308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4922599 + ... + 8409209.

It is an arithmetic number, because the mean of its divisors is an integer number (328794484824).

Almost surely, 2^{23241414211344} is an apocalyptic number.

23241414211344 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 23241414211344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39455338178880).

23241414211344 is an abundant number, since it is smaller than the sum of its proper divisors (55669262146416).

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

23241414211344 is a wasteful number, since it uses less digits than its factorization.

23241414211344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487038 (or 3487029 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 23241414211344 its reverse (44311241414232), we get a palindrome (67552655625576).

The spelling of 23241414211344 in words is "twenty-three trillion, two hundred forty-one billion, four hundred fourteen million, two hundred eleven thousand, three hundred forty-four".