90494021469600 has 1440 divisors, whose sum is σ = 386352925580160. Its totient is φ = 20181190901760.

The previous prime is 90494021469583. The next prime is 90494021469727. The reversal of 90494021469600 is 696412049409.

It is a happy number.

90494021469600 is a `hidden beast` number, since 9 + 0 + 4 + 9 + 4 + 0 + 21 + 4 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23269224456 + ... + 23269228344.

It is an arithmetic number, because the mean of its divisors is an integer number (268300642764).

Almost surely, 2^{90494021469600} is an apocalyptic number.

90494021469600 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 90494021469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193176462790080).

90494021469600 is an abundant number, since it is smaller than the sum of its proper divisors (295858904110560).

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

90494021469600 is a wasteful number, since it uses less digits than its factorization.

90494021469600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 90494021469600 in words is "ninety trillion, four hundred ninety-four billion, twenty-one million, four hundred sixty-nine thousand, six hundred".