353078920920 has 128 divisors (see below), whose sum is σ = 1155726973440. Its totient is φ = 85580375040.

The previous prime is 353078920907. The next prime is 353078920991. The reversal of 353078920920 is 29029870353.

It is a happy number.

It is a super-2 number, since 2×353078920920² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 353078920920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9177244 + ... + 9215636.

It is an arithmetic number, because the mean of its divisors is an integer number (9029116980).

Almost surely, 2^353078920920 is an apocalyptic number.

353078920920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353078920920 is an abundant number, since it is smaller than the sum of its proper divisors (802648052520).

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

353078920920 is a wasteful number, since it uses less digits than its factorization.

353078920920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45385 (or 45381 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 353078920920 in words is "three hundred fifty-three billion, seventy-eight million, nine hundred twenty thousand, nine hundred twenty".