353676201648 has 320 divisors, whose sum is σ = 1155118067712. Its totient is φ = 90577751040.

The previous prime is 353676201647. The next prime is 353676201653. The reversal of 353676201648 is 846102676353.

It is a super-2 number, since 2×353676201648² (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 353676201648.

It is not an unprimeable number, because it can be changed into a prime (353676201643) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 232222615 + ... + 232224137.

Almost surely, 2^353676201648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353676201648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577559033856).

353676201648 is an abundant number, since it is smaller than the sum of its proper divisors (801441866064).

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

353676201648 is a wasteful number, since it uses less digits than its factorization.

353676201648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 353676201648 in words is "three hundred fifty-three billion, six hundred seventy-six million, two hundred one thousand, six hundred forty-eight".