88416409000000 has 147 divisors (see below), whose sum is σ = 219334658320281. Its totient is φ = 35362802400000.

The previous prime is 88416408999943. The next prime is 88416409000001. The reversal of 88416409000000 is 90461488.

The square root of 88416409000000 is 9403000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 77461262259264 + 10955146740736 = 8801208^2 + 3309856^2 .

It is a super-2 number, since 2×88416409000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88416409000001) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 9402995299 + ... + 9403004701.

Almost surely, 2^{88416409000000} is an apocalyptic number.

88416409000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88416409000000 is the 9403000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88416409000000

88416409000000 is an abundant number, since it is smaller than the sum of its proper divisors (130918249320281).

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

88416409000000 is an frugal number, since it uses more digits than its factorization.

88416409000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18848 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

Adding to 88416409000000 its reverse (90461488), we get a palindrome (88416499461488).

The spelling of 88416409000000 in words is "eighty-eight trillion, four hundred sixteen billion, four hundred nine million", and thus it is an aban number.