353420648505 has 48 divisors (see below), whose sum is σ = 626148506880. Its totient is φ = 184365552384.

The previous prime is 353420648501. The next prime is 353420648509. The reversal of 353420648505 is 505846024353.

353420648505 is a `hidden beast` number, since 3 + 534 + 2 + 0 + 64 + 8 + 50 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (353420648501) and next prime (353420648509).

It is not a de Polignac number, because 353420648505 - 2² = 353420648501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (353420648501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84172 + ... + 844941.

It is an arithmetic number, because the mean of its divisors is an integer number (13044760560).

Almost surely, 2^353420648505 is an apocalyptic number.

It is an amenable number.

353420648505 is a deficient number, since it is larger than the sum of its proper divisors (272727858375).

353420648505 is a wasteful number, since it uses less digits than its factorization.

353420648505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929310 (or 929307 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 353420648505 in words is "three hundred fifty-three billion, four hundred twenty million, six hundred forty-eight thousand, five hundred five".