18764667982242 has 896 divisors, whose sum is σ = 54658489374720. Its totient is φ = 4698457021440.

The previous prime is 18764667982223. The next prime is 18764667982261. The reversal of 18764667982242 is 24228976646781.

18764667982242 is a `hidden beast` number, since 1 + 8 + 76 + 466 + 7 + 98 + 2 + 2 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (18764667982223) and next prime (18764667982261).

It is a super-2 number, since 2×18764667982242² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 36016636942 + ... + 36016637462.

It is an arithmetic number, because the mean of its divisors is an integer number (61002778320).

Almost surely, 2^{18764667982242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18764667982242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27329244687360).

18764667982242 is an abundant number, since it is smaller than the sum of its proper divisors (35893821392478).

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

18764667982242 is a wasteful number, since it uses less digits than its factorization.

18764667982242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 755 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 18764667982242 in words is "eighteen trillion, seven hundred sixty-four billion, six hundred sixty-seven million, nine hundred eighty-two thousand, two hundred forty-two".