94195490146560 has 1008 divisors, whose sum is σ = 369743977528128. Its totient is φ = 22791717273600.

The previous prime is 94195490146529. The next prime is 94195490146561. The reversal of 94195490146560 is 6564109459149.

94195490146560 is a `hidden beast` number, since 9 + 4 + 1 + 9 + 54 + 9 + 0 + 14 + 6 + 560 = 666.

It is not an unprimeable number, because it can be changed into a prime (94195490146561) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5552988639 + ... + 5553005601.

It is an arithmetic number, because the mean of its divisors is an integer number (366809501516).

Almost surely, 2^{94195490146560} is an apocalyptic number.

94195490146560 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 94195490146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184871988764064).

94195490146560 is an abundant number, since it is smaller than the sum of its proper divisors (275548487381568).

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

94195490146560 is a wasteful number, since it uses less digits than its factorization.

94195490146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17554 (or 17525 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 94195490146560 in words is "ninety-four trillion, one hundred ninety-five billion, four hundred ninety million, one hundred forty-six thousand, five hundred sixty".