351336416490 has 256 divisors, whose sum is σ = 997171015680. Its totient is φ = 87879168000.

The previous prime is 351336416471. The next prime is 351336416507. The reversal of 351336416490 is 94614633153.

It is a happy number.

351336416490 is a `hidden beast` number, since 3 + 513 + 3 + 6 + 41 + 6 + 4 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53874430 + ... + 53880950.

It is an arithmetic number, because the mean of its divisors is an integer number (3895199280).

Almost surely, 2^351336416490 is an apocalyptic number.

351336416490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 351336416490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498585507840).

351336416490 is an abundant number, since it is smaller than the sum of its proper divisors (645834599190).

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

351336416490 is a wasteful number, since it uses less digits than its factorization.

351336416490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 351336416490 in words is "three hundred fifty-one billion, three hundred thirty-six million, four hundred sixteen thousand, four hundred ninety".