23251434624 has 384 divisors, whose sum is σ = 75860141760. Its totient is φ = 6773760000.

The previous prime is 23251434581. The next prime is 23251434631. The reversal of 23251434624 is 42643415232.

23251434624 is a `hidden beast` number, since 2 + 3 + 25 + 1 + 4 + 3 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 47355019 + ... + 47355509.

Almost surely, 2^23251434624 is an apocalyptic number.

23251434624 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 23251434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37930070880).

23251434624 is an abundant number, since it is smaller than the sum of its proper divisors (52608707136).

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

23251434624 is a wasteful number, since it uses less digits than its factorization.

23251434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 645 counting only the distinct ones).

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

Adding to 23251434624 its reverse (42643415232), we get a palindrome (65894849856).

The spelling of 23251434624 in words is "twenty-three billion, two hundred fifty-one million, four hundred thirty-four thousand, six hundred twenty-four".