23534014464 has 351 divisors, whose sum is σ = 73781964217. Its totient is φ = 7226130432.

The previous prime is 23534014429. The next prime is 23534014501. The reversal of 23534014464 is 46441043532.

The square root of 23534014464 is 153408.

It is a perfect power (a square), and thus also a powerful number.

23534014464 is a `hidden beast` number, since 23 + 534 + 0 + 1 + 44 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18322329600 + 5211684864 = 135360^2 + 72192^2 .

It is a super-2 number, since 2×23534014464² (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 500723689 + ... + 500723735.

Almost surely, 2^23534014464 is an apocalyptic number.

23534014464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23534014464 is the 153408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23534014464

23534014464 is an abundant number, since it is smaller than the sum of its proper divisors (50247949753).

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

23534014464 is an equidigital number, since it uses as much as digits as its factorization.

23534014464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Multiplying 23534014464 by its sum of digits (36), we get a square (847224520704 = 920448²).

23534014464 divided by its sum of digits (36) gives a square (653722624 = 25568²).

Adding to 23534014464 its reverse (46441043532), we get a palindrome (69975057996).

The spelling of 23534014464 in words is "twenty-three billion, five hundred thirty-four million, fourteen thousand, four hundred sixty-four".