90003146688 has 252 divisors, whose sum is σ = 323182259400. Its totient is φ = 23736996864.

The previous prime is 90003146683. The next prime is 90003146747. The reversal of 90003146688 is 88664130009.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90003146683) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 244263 + ... + 489561.

Almost surely, 2^90003146688 is an apocalyptic number.

90003146688 is a gapful number since it is divisible by the number (98) 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 90003146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161591129700).

90003146688 is an abundant number, since it is smaller than the sum of its proper divisors (233179112712).

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

90003146688 is a wasteful number, since it uses less digits than its factorization.

90003146688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245344 (or 245324 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 90003146688 in words is "ninety billion, three million, one hundred forty-six thousand, six hundred eighty-eight".