88746524752672 has 96 divisors (see below), whose sum is σ = 185325672010752. Its totient is φ = 41747885017344.

The previous prime is 88746524752667. The next prime is 88746524752673. The reversal of 88746524752672 is 27625742564788.

It is a super-2 number, since 2×88746524752672² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88746524752595 and 88746524752604.

It is not an unprimeable number, because it can be changed into a prime (88746524752673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10667053 + ... + 17066899.

It is an arithmetic number, because the mean of its divisors is an integer number (1930475750112).

Almost surely, 2^{88746524752672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88746524752672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92662836005376).

88746524752672 is an abundant number, since it is smaller than the sum of its proper divisors (96579147258080).

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

88746524752672 is a wasteful number, since it uses less digits than its factorization.

88746524752672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400190 (or 6400182 counting only the distinct ones).

The product of its digits is 2528870400, while the sum is 73.

The spelling of 88746524752672 in words is "eighty-eight trillion, seven hundred forty-six billion, five hundred twenty-four million, seven hundred fifty-two thousand, six hundred seventy-two".