66345433463100 has 144 divisors (see below), whose sum is σ = 213865852709376. Its totient is φ = 15741534144000.

The previous prime is 66345433463051. The next prime is 66345433463131. The reversal of 66345433463100 is 136433454366.

It is a super-2 number, since 2×66345433463100² (a number of 28 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 66345433463100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213724441 + ... + 214034640.

It is an arithmetic number, because the mean of its divisors is an integer number (1485179532704).

Almost surely, 2^{66345433463100} is an apocalyptic number.

66345433463100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66345433463100 is an abundant number, since it is smaller than the sum of its proper divisors (147520419246276).

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

66345433463100 is a wasteful number, since it uses less digits than its factorization.

66345433463100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427759156 (or 427759149 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 48.

The spelling of 66345433463100 in words is "sixty-six trillion, three hundred forty-five billion, four hundred thirty-three million, four hundred sixty-three thousand, one hundred".