23463249264 has 800 divisors, whose sum is σ = 90676974080. Its totient is φ = 5683820544.

The previous prime is 23463249259. The next prime is 23463249287. The reversal of 23463249264 is 46294236432.

23463249264 is a `hidden beast` number, since 2 + 3 + 4 + 632 + 4 + 9 + 2 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 82908867 + ... + 82909149.

Almost surely, 2^23463249264 is an apocalyptic number.

23463249264 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 23463249264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45338487040).

23463249264 is an abundant number, since it is smaller than the sum of its proper divisors (67213724816).

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

23463249264 is a wasteful number, since it uses less digits than its factorization.

23463249264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The spelling of 23463249264 in words is "twenty-three billion, four hundred sixty-three million, two hundred forty-nine thousand, two hundred sixty-four".