23142487680 has 384 divisors, whose sum is σ = 88397683920. Its totient is φ = 5541986304.

The previous prime is 23142487657. The next prime is 23142487703. The reversal of 23142487680 is 8678424132.

It is a happy number.

23142487680 is a `hidden beast` number, since 23 + 142 + 487 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23142487657) and next prime (23142487703).

It can be written as a sum of positive squares in 8 ways, for example, as 12556547136 + 10585940544 = 112056^2 + 102888^2 .

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 (45).

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, 2766384 + ... + 2774736.

Almost surely, 2^23142487680 is an apocalyptic number.

23142487680 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 23142487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44198841960).

23142487680 is an abundant number, since it is smaller than the sum of its proper divisors (65255196240).

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

23142487680 is a wasteful number, since it uses less digits than its factorization.

23142487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8428 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 23142487680 in words is "twenty-three billion, one hundred forty-two million, four hundred eighty-seven thousand, six hundred eighty".