35677122742456 has 256 divisors, whose sum is σ = 82447148851200. Its totient is φ = 14345601177600.

The previous prime is 35677122742397. The next prime is 35677122742489. The reversal of 35677122742456 is 65424722177653.

It is a super-2 number, since 2×35677122742456² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35677122742394 and 35677122742403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 364259811 + ... + 364357741.

It is an arithmetic number, because the mean of its divisors is an integer number (322059175200).

Almost surely, 2^{35677122742456} 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 35677122742456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41223574425600).

35677122742456 is an abundant number, since it is smaller than the sum of its proper divisors (46770026108744).

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

35677122742456 is a wasteful number, since it uses less digits than its factorization.

35677122742456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98055 (or 98017 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 61.

The spelling of 35677122742456 in words is "thirty-five trillion, six hundred seventy-seven billion, one hundred twenty-two million, seven hundred forty-two thousand, four hundred fifty-six".