35214145591104 has 84 divisors (see below), whose sum is σ = 102589662300580. Its totient is φ = 11545621493760.

The previous prime is 35214145591099. The next prime is 35214145591111. The reversal of 35214145591104 is 40119554141253.

35214145591104 is a `hidden beast` number, since 3 + 5 + 2 + 1 + 4 + 1 + 45 + 591 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7317241401600 + 27896904189504 = 2705040^2 + 5281752^2 .

It is a super-2 number, since 2×35214145591104² (a number of 28 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 35214145591104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501076909 + ... + 501147180.

Almost surely, 2^{35214145591104} is an apocalyptic number.

It is an amenable number.

35214145591104 is an abundant number, since it is smaller than the sum of its proper divisors (67375516709476).

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

35214145591104 is a wasteful number, since it uses less digits than its factorization.

35214145591104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002224168 (or 1002224155 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 35214145591104 in words is "thirty-five trillion, two hundred fourteen billion, one hundred forty-five million, five hundred ninety-one thousand, one hundred four".