88485694482948 has 288 divisors, whose sum is σ = 253460729612160. Its totient is φ = 23890021908480.

The previous prime is 88485694482907. The next prime is 88485694482973. The reversal of 88485694482948 is 84928449658488.

88485694482948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×88485694482948² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11740170636 + ... + 11740178172.

It is an arithmetic number, because the mean of its divisors is an integer number (880071977820).

Almost surely, 2^{88485694482948} 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 88485694482948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126730364806080).

88485694482948 is an abundant number, since it is smaller than the sum of its proper divisors (164975035129212).

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

88485694482948 is a wasteful number, since it uses less digits than its factorization.

88485694482948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10115 (or 10106 counting only the distinct ones).

The product of its digits is 40768634880, while the sum is 87.

The spelling of 88485694482948 in words is "eighty-eight trillion, four hundred eighty-five billion, six hundred ninety-four million, four hundred eighty-two thousand, nine hundred forty-eight".