980362312962642 has 96 divisors (see below), whose sum is σ = 2247736656522240. Its totient is φ = 307951289856000.

The previous prime is 980362312962569. The next prime is 980362312962647. The reversal of 980362312962642 is 246269213263089.

980362312962642 is a `hidden beast` number, since 9 + 8 + 0 + 362 + 3 + 1 + 2 + 9 + 6 + 264 + 2 = 666.

980362312962642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×980362312962642² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 980362312962642.

It is not an unprimeable number, because it can be changed into a prime (980362312962647) 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, 1295675592 + ... + 1296432012.

It is an arithmetic number, because the mean of its divisors is an integer number (23413923505440).

Almost surely, 2^{980362312962642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980362312962642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123868328261120).

980362312962642 is an abundant number, since it is smaller than the sum of its proper divisors (1267374343559598).

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

980362312962642 is a wasteful number, since it uses less digits than its factorization.

980362312962642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776480 (or 776477 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 980362312962642 in words is "nine hundred eighty trillion, three hundred sixty-two billion, three hundred twelve million, nine hundred sixty-two thousand, six hundred forty-two".