354542133064 has 96 divisors (see below), whose sum is σ = 832666716000. Its totient is φ = 140584561152.

The previous prime is 354542133037. The next prime is 354542133083. The reversal of 354542133064 is 460331245453.

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 23 ways as a sum of consecutive naturals, for example, 57694 + ... + 844045.

It is an arithmetic number, because the mean of its divisors is an integer number (8673611625).

Almost surely, 2^354542133064 is an apocalyptic number.

354542133064 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 354542133064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416333358000).

354542133064 is an abundant number, since it is smaller than the sum of its proper divisors (478124582936).

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

354542133064 is a wasteful number, since it uses less digits than its factorization.

354542133064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901835 (or 901824 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 354542133064 in words is "three hundred fifty-four billion, five hundred forty-two million, one hundred thirty-three thousand, sixty-four".