35163350131364 has 144 divisors (see below), whose sum is σ = 77588344819440. Its totient is φ = 13820927016960.

The previous prime is 35163350131363. The next prime is 35163350131369. The reversal of 35163350131364 is 46313105336153.

It can be written as a sum of positive squares in 8 ways, for example, as 3796293734464 + 31367056396900 = 1948408^2 + 5600630^2 .

It is a super-2 number, since 2×35163350131364² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (35163350131363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254662184 + ... + 254800224.

It is an arithmetic number, because the mean of its divisors is an integer number (538807950135).

Almost surely, 2^{35163350131364} 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 35163350131364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38794172409720).

35163350131364 is an abundant number, since it is smaller than the sum of its proper divisors (42424994688076).

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

35163350131364 is a wasteful number, since it uses less digits than its factorization.

35163350131364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138718 (or 138709 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 44.

The spelling of 35163350131364 in words is "thirty-five trillion, one hundred sixty-three billion, three hundred fifty million, one hundred thirty-one thousand, three hundred sixty-four".