351383380992 has 1056 divisors, whose sum is σ = 1287546624000. Its totient is φ = 95493758976.

The previous prime is 351383380981. The next prime is 351383380993. The reversal of 351383380992 is 299083383153.

It is a happy number.

351383380992 is a `hidden beast` number, since 3 + 513 + 8 + 3 + 38 + 0 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (351383380993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1963035559 + ... + 1963035737.

Almost surely, 2^351383380992 is an apocalyptic number.

351383380992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351383380992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643773312000).

351383380992 is an abundant number, since it is smaller than the sum of its proper divisors (936163243008).

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

351383380992 is an equidigital number, since it uses as much as digits as its factorization.

351383380992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 351383380992 in words is "three hundred fifty-one billion, three hundred eighty-three million, three hundred eighty thousand, nine hundred ninety-two".