90041616000 has 768 divisors, whose sum is σ = 377305344000. Its totient is φ = 20569651200.

The previous prime is 90041615981. The next prime is 90041616011. The reversal of 90041616000 is 61614009.

90041616000 is a `hidden beast` number, since 9 + 0 + 0 + 41 + 616 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×90041616000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49391089 + ... + 49392911.

It is an arithmetic number, because the mean of its divisors is an integer number (491283000).

Almost surely, 2^90041616000 is an apocalyptic number.

90041616000 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 90041616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188652672000).

90041616000 is an abundant number, since it is smaller than the sum of its proper divisors (287263728000).

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

90041616000 is a wasteful number, since it uses less digits than its factorization.

90041616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 90041616000 in words is "ninety billion, forty-one million, six hundred sixteen thousand".