354192943104 has 1536 divisors, whose sum is σ = 1444165632000. Its totient is φ = 83846430720.

The previous prime is 354192943103. The next prime is 354192943121. The reversal of 354192943104 is 401349291453.

354192943104 is a `hidden beast` number, since 3 + 5 + 41 + 9 + 294 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×354192943104³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354192943104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354192943103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4483454937 + ... + 4483455015.

It is an arithmetic number, because the mean of its divisors is an integer number (940212000).

Almost surely, 2^354192943104 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 354192943104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722082816000).

354192943104 is an abundant number, since it is smaller than the sum of its proper divisors (1089972688896).

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

354192943104 is an equidigital number, since it uses as much as digits as its factorization.

354192943104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 354192943104 in words is "three hundred fifty-four billion, one hundred ninety-two million, nine hundred forty-three thousand, one hundred four".