82601990946 has 80 divisors (see below), whose sum is σ = 189751228128. Its totient is φ = 26841585600.

The previous prime is 82601990899. The next prime is 82601990963. The reversal of 82601990946 is 64909910628.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82601990892 and 82601990901.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10164841 + ... + 10172963.

Almost surely, 2^82601990946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82601990946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94875614064).

82601990946 is an abundant number, since it is smaller than the sum of its proper divisors (107149237182).

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

82601990946 is a wasteful number, since it uses less digits than its factorization.

82601990946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9709 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 82601990946 in words is "eighty-two billion, six hundred one million, nine hundred ninety thousand, nine hundred forty-six".