23400536242464 has 144 divisors (see below), whose sum is σ = 71940838394880. Its totient is φ = 7189922880000.

The previous prime is 23400536242463. The next prime is 23400536242469. The reversal of 23400536242464 is 46424263500432.

23400536242464 is a `hidden beast` number, since 2 + 3 + 40 + 0 + 5 + 362 + 4 + 246 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (23400536242463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57586912 + ... + 57991839.

It is an arithmetic number, because the mean of its divisors is an integer number (499589155520).

Almost surely, 2^{23400536242464} is an apocalyptic number.

23400536242464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23400536242464 is an abundant number, since it is smaller than the sum of its proper divisors (48540302152416).

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

23400536242464 is a wasteful number, since it uses less digits than its factorization.

23400536242464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115578823 (or 115578812 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

Adding to 23400536242464 its reverse (46424263500432), we get a palindrome (69824799742896).

The spelling of 23400536242464 in words is "twenty-three trillion, four hundred billion, five hundred thirty-six million, two hundred forty-two thousand, four hundred sixty-four".