353459720064 has 64 divisors (see below), whose sum is σ = 1024229882880. Its totient is φ = 107109004800.

The previous prime is 353459720057. The next prime is 353459720077. The reversal of 353459720064 is 460027954353.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 353459719995 and 353459720022.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 41835232 + ... + 41843679.

It is an arithmetic number, because the mean of its divisors is an integer number (16003591920).

Almost surely, 2^353459720064 is an apocalyptic number.

It is an amenable number.

353459720064 is an abundant number, since it is smaller than the sum of its proper divisors (670770162816).

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

353459720064 is a wasteful number, since it uses less digits than its factorization.

353459720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83678939 (or 83678927 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 353459720064 in words is "three hundred fifty-three billion, four hundred fifty-nine million, seven hundred twenty thousand, sixty-four".