35686934042144 has 192 divisors, whose sum is σ = 87767013922560. Its totient is φ = 13876756807680.

The previous prime is 35686934042141. The next prime is 35686934042159. The reversal of 35686934042144 is 44124043968653.

It is a happy number.

It is a super-2 number, since 2×35686934042144² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (35686934042141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2837469584 + ... + 2837482160.

It is an arithmetic number, because the mean of its divisors is an integer number (457119864180).

Almost surely, 2^{35686934042144} 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 35686934042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43883506961280).

35686934042144 is an abundant number, since it is smaller than the sum of its proper divisors (52080079880416).

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

35686934042144 is a wasteful number, since it uses less digits than its factorization.

35686934042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14771 (or 14763 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 59.

The spelling of 35686934042144 in words is "thirty-five trillion, six hundred eighty-six billion, nine hundred thirty-four million, forty-two thousand, one hundred forty-four".