90434275835904 has 3808 divisors, whose sum is σ = 382003824857088. Its totient is φ = 20639121408000.

The previous prime is 90434275835899. The next prime is 90434275835921. The reversal of 90434275835904 is 40953857243409.

90434275835904 is a `hidden beast` number, since 9 + 0 + 4 + 3 + 4 + 275 + 8 + 359 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1482529112034 + ... + 1482529112094.

Almost surely, 2^{90434275835904} 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 90434275835904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191001912428544).

90434275835904 is an abundant number, since it is smaller than the sum of its proper divisors (291569549021184).

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

90434275835904 is an equidigital number, since it uses as much as digits as its factorization.

90434275835904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 90434275835904 in words is "ninety trillion, four hundred thirty-four billion, two hundred seventy-five million, eight hundred thirty-five thousand, nine hundred four".