353541974016 has 576 divisors, whose sum is σ = 1213638491520. Its totient is φ = 89535283200.

The previous prime is 353541973963. The next prime is 353541974063. The reversal of 353541974016 is 610479145353.

It is a super-2 number, since 2×353541974016² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213361860 + ... + 213363516.

It is an arithmetic number, because the mean of its divisors is an integer number (2107011270).

Almost surely, 2^353541974016 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 353541974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606819245760).

353541974016 is an abundant number, since it is smaller than the sum of its proper divisors (860096517504).

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

353541974016 is a wasteful number, since it uses less digits than its factorization.

353541974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 353541974016 in words is "three hundred fifty-three billion, five hundred forty-one million, nine hundred seventy-four thousand, sixteen".