90034416000 has 1024 divisors, whose sum is σ = 350725939200. Its totient is φ = 22954752000.

The previous prime is 90034415903. The next prime is 90034416001. The reversal of 90034416000 is 61443009.

It is a super-2 number, since 2×90034416000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90034416001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1084751959 + ... + 1084752041.

It is an arithmetic number, because the mean of its divisors is an integer number (342505800).

Almost surely, 2^90034416000 is an apocalyptic number.

90034416000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90034416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175362969600).

90034416000 is an abundant number, since it is smaller than the sum of its proper divisors (260691523200).

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

90034416000 is an frugal number, since it uses more digits than its factorization.

90034416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 90034416000 its reverse (61443009), we get a palindrome (90095859009).

The spelling of 90034416000 in words is "ninety billion, thirty-four million, four hundred sixteen thousand".