23354634240 has 624 divisors, whose sum is σ = 96662711808. Its totient is φ = 5099618304.

The previous prime is 23354634223. The next prime is 23354634287. The reversal of 23354634240 is 4243645332.

23354634240 is a `hidden beast` number, since 2 + 3 + 354 + 63 + 4 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23354634195 and 23354634204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29675127 + ... + 29675913.

It is an arithmetic number, because the mean of its divisors is an integer number (154908192).

Almost surely, 2^23354634240 is an apocalyptic number.

23354634240 is a gapful number since it is divisible by the number (20) 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 23354634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48331355904).

23354634240 is an abundant number, since it is smaller than the sum of its proper divisors (73308077568).

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

23354634240 is a wasteful number, since it uses less digits than its factorization.

23354634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 23354634240 in words is "twenty-three billion, three hundred fifty-four million, six hundred thirty-four thousand, two hundred forty".