36350246102016 has 1584 divisors, whose sum is σ = 130276401020928. Its totient is φ = 8901262540800.

The previous prime is 36350246102003. The next prime is 36350246102033. The reversal of 36350246102016 is 61020164205363.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94909258561 + ... + 94909258943.

Almost surely, 2^{36350246102016} 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 36350246102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65138200510464).

36350246102016 is an abundant number, since it is smaller than the sum of its proper divisors (93926154918912).

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

36350246102016 is a wasteful number, since it uses less digits than its factorization.

36350246102016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 36350246102016 in words is "thirty-six trillion, three hundred fifty billion, two hundred forty-six million, one hundred two thousand, sixteen".