23456197440 has 672 divisors, whose sum is σ = 93012585120. Its totient is φ = 5374476288.

The previous prime is 23456197421. The next prime is 23456197441. The reversal of 23456197440 is 4479165432.

23456197440 is a `hidden beast` number, since 2 + 3 + 456 + 197 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 10438300224 + 13017897216 = 102168^2 + 114096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23456197441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87197626 + ... + 87197894.

It is an arithmetic number, because the mean of its divisors is an integer number (138411585).

Almost surely, 2^23456197440 is an apocalyptic number.

23456197440 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 23456197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46506292560).

23456197440 is an abundant number, since it is smaller than the sum of its proper divisors (69556387680).

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

23456197440 is a wasteful number, since it uses less digits than its factorization.

23456197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 23456197440 in words is "twenty-three billion, four hundred fifty-six million, one hundred ninety-seven thousand, four hundred forty".