351411710496 has 768 divisors, whose sum is σ = 1306472509440. Its totient is φ = 79820881920.

The previous prime is 351411710473. The next prime is 351411710497. The reversal of 351411710496 is 694017114153.

It is a happy number.

It is a super-4 number, since 4×351411710496⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (351411710497) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126542260 + ... + 126545036.

It is an arithmetic number, because the mean of its divisors is an integer number (1701136080).

Almost surely, 2^351411710496 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 351411710496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653236254720).

351411710496 is an abundant number, since it is smaller than the sum of its proper divisors (955060798944).

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

351411710496 is a wasteful number, since it uses less digits than its factorization.

351411710496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 351411710496 in words is "three hundred fifty-one billion, four hundred eleven million, seven hundred ten thousand, four hundred ninety-six".