350985083904 has 1320 divisors, whose sum is σ = 1341670941600. Its totient is φ = 91299446784.

The previous prime is 350985083899. The next prime is 350985083927. The reversal of 350985083904 is 409380589053.

350985083904 is a `hidden beast` number, since 3 + 509 + 8 + 50 + 83 + 9 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4808014812 + ... + 4808014884.

It is an arithmetic number, because the mean of its divisors is an integer number (1016417380).

Almost surely, 2^350985083904 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 350985083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670835470800).

350985083904 is an abundant number, since it is smaller than the sum of its proper divisors (990685857696).

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

350985083904 is an equidigital number, since it uses as much as digits as its factorization.

350985083904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 350985083904 in words is "three hundred fifty billion, nine hundred eighty-five million, eighty-three thousand, nine hundred four".