18935063070066 has 864 divisors, whose sum is σ = 52356904104960. Its totient is φ = 4928738031360.

The previous prime is 18935063070059. The next prime is 18935063070073. The reversal of 18935063070066 is 66007036053981.

18935063070066 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 506 + 3 + 0 + 70 + 0 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (18935063070059) and next prime (18935063070073).

It is a super-2 number, since 2×18935063070066² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18935063069994 and 18935063070021.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 83414374645 + ... + 83414374871.

It is an arithmetic number, because the mean of its divisors is an integer number (60598268640).

Almost surely, 2^{18935063070066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18935063070066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26178452052480).

18935063070066 is an abundant number, since it is smaller than the sum of its proper divisors (33421841034894).

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

18935063070066 is a wasteful number, since it uses less digits than its factorization.

18935063070066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 18935063070066 in words is "eighteen trillion, nine hundred thirty-five billion, sixty-three million, seventy thousand, sixty-six".