351380669094 has 288 divisors, whose sum is σ = 996927160320. Its totient is φ = 87084450432.

The previous prime is 351380669093. The next prime is 351380669119. The reversal of 351380669094 is 490966083153.

351380669094 is a `hidden beast` number, since 35 + 1 + 380 + 66 + 90 + 94 = 666.

It is a super-2 number, since 2×351380669094² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 351380669094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351380669093) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75095047 + ... + 75099725.

It is an arithmetic number, because the mean of its divisors is an integer number (3461552640).

Almost surely, 2^351380669094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351380669094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498463580160).

351380669094 is an abundant number, since it is smaller than the sum of its proper divisors (645546491226).

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

351380669094 is a wasteful number, since it uses less digits than its factorization.

351380669094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4850 counting only the distinct ones).

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

The spelling of 351380669094 in words is "three hundred fifty-one billion, three hundred eighty million, six hundred sixty-nine thousand, ninety-four".