23031874914048 has 1728 divisors, whose sum is σ = 93364850880000. Its totient is φ = 5505278607360.

The previous prime is 23031874913981. The next prime is 23031874914073. The reversal of 23031874914048 is 84041947813032.

23031874914048 is a `hidden beast` number, since 2 + 3 + 0 + 31 + 87 + 491 + 4 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23031874913985 and 23031874914003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24167759140 + ... + 24167760092.

It is an arithmetic number, because the mean of its divisors is an integer number (54030585000).

Almost surely, 2^{23031874914048} is an apocalyptic number.

23031874914048 is a gapful number since it is divisible by the number (28) 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 23031874914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46682425440000).

23031874914048 is an abundant number, since it is smaller than the sum of its proper divisors (70332975965952).

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

23031874914048 is a wasteful number, since it uses less digits than its factorization.

23031874914048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 23031874914048 in words is "twenty-three trillion, thirty-one billion, eight hundred seventy-four million, nine hundred fourteen thousand, forty-eight".