351981000000 has 1176 divisors, whose sum is σ = 1490008427648. Its totient is φ = 77760000000.

The previous prime is 351980999989. The next prime is 351981000013. The reversal of 351981000000 is 189153.

It is a super-2 number, since 2×351981000000² (a number of 24 digits) contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 351981000000 = 440³ + 7060³ = 5000³ + 6100³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2330999925 + ... + 2331000075.

Almost surely, 2^351981000000 is an apocalyptic number.

351981000000 is a gapful number since it is divisible by the number (30) 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 351981000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745004213824).

351981000000 is an abundant number, since it is smaller than the sum of its proper divisors (1138027427648).

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

351981000000 is an equidigital number, since it uses as much as digits as its factorization.

351981000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 351981000000 its reverse (189153), we get a palindrome (351981189153).

The spelling of 351981000000 in words is "three hundred fifty-one billion, nine hundred eighty-one million", and thus it is an aban number.