353607118134816 has 384 divisors, whose sum is σ = 1202605750241280. Its totient is φ = 88346593271808.

The previous prime is 353607118134811. The next prime is 353607118134983. The reversal of 353607118134816 is 618431811706353.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (353607118134811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5429802031 + ... + 5429867153.

It is an arithmetic number, because the mean of its divisors is an integer number (3131785807920).

Almost surely, 2^{353607118134816} 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 353607118134816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601302875120640).

353607118134816 is an abundant number, since it is smaller than the sum of its proper divisors (848998632106464).

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

353607118134816 is a wasteful number, since it uses less digits than its factorization.

353607118134816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97888 (or 97880 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 353607118134816 in words is "three hundred fifty-three trillion, six hundred seven billion, one hundred eighteen million, one hundred thirty-four thousand, eight hundred sixteen".