23146583556096 has 2128 divisors, whose sum is σ = 93961155861888. Its totient is φ = 5549630423040.

The previous prime is 23146583556073. The next prime is 23146583556101. The reversal of 23146583556096 is 69065538564132.

It is a happy number.

23146583556096 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 65 + 8 + 3 + 5 + 560 + 9 + 6 = 666.

It is a super-2 number, since 2×23146583556096² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1780506427386 + ... + 1780506427398.

Almost surely, 2^{23146583556096} is an apocalyptic number.

23146583556096 is a gapful number since it is divisible by the number (26) 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 23146583556096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46980577930944).

23146583556096 is an abundant number, since it is smaller than the sum of its proper divisors (70814572305792).

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

23146583556096 is an frugal number, since it uses more digits than its factorization.

23146583556096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 23146583556096 in words is "twenty-three trillion, one hundred forty-six billion, five hundred eighty-three million, five hundred fifty-six thousand, ninety-six".