351366452066400 has 144 divisors (see below), whose sum is σ = 1143744916671504. Its totient is φ = 93693860628480.

The previous prime is 351366452066389. The next prime is 351366452066533. The reversal of 351366452066400 is 4660254663153.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55491822 + ... + 61498578.

It is an arithmetic number, because the mean of its divisors is an integer number (7942673032441).

Almost surely, 2^{351366452066400} is an apocalyptic number.

351366452066400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

351366452066400 is an abundant number, since it is smaller than the sum of its proper divisors (792378464605104).

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

351366452066400 is a wasteful number, since it uses less digits than its factorization.

351366452066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6031153 (or 6031140 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 51.

The spelling of 351366452066400 in words is "three hundred fifty-one trillion, three hundred sixty-six billion, four hundred fifty-two million, sixty-six thousand, four hundred".