354452948080704 has 896 divisors, whose sum is σ = 1219245753162240. Its totient is φ = 101028499292160.

The previous prime is 354452948080663. The next prime is 354452948080757. The reversal of 354452948080704 is 407080849254453.

354452948080704 is a `hidden beast` number, since 3 + 5 + 4 + 4 + 5 + 2 + 9 + 480 + 80 + 70 + 4 = 666.

It is a super-3 number, since 3×354452948080704³ (a number of 45 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 55933869024 + ... + 55933875360.

Almost surely, 2^{354452948080704} is an apocalyptic number.

354452948080704 is a gapful number since it is divisible by the number (34) 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 354452948080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609622876581120).

354452948080704 is an abundant number, since it is smaller than the sum of its proper divisors (864792805081536).

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

354452948080704 is a wasteful number, since it uses less digits than its factorization.

354452948080704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8535 (or 8507 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 354452948080704 in words is "three hundred fifty-four trillion, four hundred fifty-two billion, nine hundred forty-eight million, eighty thousand, seven hundred four".