23001672764538 has 384 divisors, whose sum is σ = 58387660531200. Its totient is φ = 6739244209152.

The previous prime is 23001672764537. The next prime is 23001672764573. The reversal of 23001672764538 is 83546727610032.

It is a happy number.

23001672764538 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 167 + 27 + 6 + 453 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23001672764537) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5439031408 + ... + 5439035636.

It is an arithmetic number, because the mean of its divisors is an integer number (152051199300).

Almost surely, 2^{23001672764538} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23001672764538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29193830265600).

23001672764538 is an abundant number, since it is smaller than the sum of its proper divisors (35385987766662).

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

23001672764538 is a wasteful number, since it uses less digits than its factorization.

23001672764538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 23001672764538 in words is "twenty-three trillion, one billion, six hundred seventy-two million, seven hundred sixty-four thousand, five hundred thirty-eight".