94890146365440 has 576 divisors, whose sum is σ = 347173673113800. Its totient is φ = 23972113022976.

The previous prime is 94890146365439. The next prime is 94890146365457. The reversal of 94890146365440 is 4456364109849.

It is a happy number.

94890146365440 is a `hidden beast` number, since 9 + 4 + 8 + 90 + 1 + 46 + 3 + 65 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532227031 + ... + 532405289.

Almost surely, 2^{94890146365440} is an apocalyptic number.

94890146365440 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 94890146365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173586836556900).

94890146365440 is an abundant number, since it is smaller than the sum of its proper divisors (252283526748360).

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

94890146365440 is a wasteful number, since it uses less digits than its factorization.

94890146365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178338 (or 178288 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 94890146365440 in words is "ninety-four trillion, eight hundred ninety billion, one hundred forty-six million, three hundred sixty-five thousand, four hundred forty".