88413458016 has 384 divisors, whose sum is σ = 277446435840. Its totient is φ = 24375656448.

The previous prime is 88413457921. The next prime is 88413458041. The reversal of 88413458016 is 61085431488.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199578691 + ... + 199579133.

It is an arithmetic number, because the mean of its divisors is an integer number (722516760).

Almost surely, 2^88413458016 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 88413458016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138723217920).

88413458016 is an abundant number, since it is smaller than the sum of its proper divisors (189032977824).

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

88413458016 is a wasteful number, since it uses less digits than its factorization.

88413458016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 88413458016 in words is "eighty-eight billion, four hundred thirteen million, four hundred fifty-eight thousand, sixteen".