354314440035504 has 320 divisors, whose sum is σ = 1100249579520000. Its totient is φ = 108521917295616.

The previous prime is 354314440035433. The next prime is 354314440035527. The reversal of 354314440035504 is 405530044413453.

354314440035504 is a `hidden beast` number, since 3 + 5 + 4 + 31 + 44 + 40 + 0 + 35 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 354314440035504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7097762257 + ... + 7097812175.

It is an arithmetic number, because the mean of its divisors is an integer number (3438279936000).

Almost surely, 2^{354314440035504} 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 354314440035504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550124789760000).

354314440035504 is an abundant number, since it is smaller than the sum of its proper divisors (745935139484496).

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

354314440035504 is a wasteful number, since it uses less digits than its factorization.

354314440035504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55697 (or 55685 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 354314440035504 its reverse (405530044413453), we get a palindrome (759844484448957).

The spelling of 354314440035504 in words is "three hundred fifty-four trillion, three hundred fourteen billion, four hundred forty million, thirty-five thousand, five hundred four".