353395984546098 has 160 divisors (see below), whose sum is σ = 853956083922480. Its totient is φ = 108587572531200.

The previous prime is 353395984546097. The next prime is 353395984546109. The reversal of 353395984546098 is 890645489593353.

353395984546098 is a `hidden beast` number, since 3 + 5 + 3 + 395 + 9 + 84 + 5 + 4 + 60 + 98 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 296219656927089 + 57176327619009 = 17211033^2 + 7561503^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (353395984546091) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5881179238 + ... + 5881239326.

Almost surely, 2^{353395984546098} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353395984546098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426978041961240).

353395984546098 is an abundant number, since it is smaller than the sum of its proper divisors (500560099376382).

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

353395984546098 is a wasteful number, since it uses less digits than its factorization.

353395984546098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63914 (or 63905 counting only the distinct ones).

The product of its (nonzero) digits is 15116544000, while the sum is 81.

The spelling of 353395984546098 in words is "three hundred fifty-three trillion, three hundred ninety-five billion, nine hundred eighty-four million, five hundred forty-six thousand, ninety-eight".