90034040544 has 192 divisors, whose sum is σ = 288825772032. Its totient is φ = 23970816000.

The previous prime is 90034040543. The next prime is 90034040549. The reversal of 90034040544 is 44504043009.

It is a super-3 number, since 3×90034040544³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90034040543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1114809 + ... + 1192839.

It is an arithmetic number, because the mean of its divisors is an integer number (1504300896).

Almost surely, 2^90034040544 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 90034040544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144412886016).

90034040544 is an abundant number, since it is smaller than the sum of its proper divisors (198791731488).

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

90034040544 is a wasteful number, since it uses less digits than its factorization.

90034040544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78169 (or 78161 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 90034040544 in words is "ninety billion, thirty-four million, forty thousand, five hundred forty-four".