351650478816000 has 7776 divisors, whose sum is σ = 1704650984644608. Its totient is φ = 71898314342400.

The previous prime is 351650478815897. The next prime is 351650478816011. The reversal of 351650478816000 is 618874056153.

It is a happy number.

351650478816000 is a `hidden beast` number, since 3 + 5 + 1 + 6 + 5 + 0 + 478 + 8 + 160 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 2768901407937 + ... + 2768901408063.

Almost surely, 2^{351650478816000} is an apocalyptic number.

351650478816000 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 351650478816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852325492322304).

351650478816000 is an abundant number, since it is smaller than the sum of its proper divisors (1353000505828608).

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

351650478816000 is a wasteful number, since it uses less digits than its factorization.

351650478816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 351650478816000 in words is "three hundred fifty-one trillion, six hundred fifty billion, four hundred seventy-eight million, eight hundred sixteen thousand".