66145544100 has 54 divisors (see below), whose sum is σ = 207329536050. Its totient is φ = 17638811520.

The previous prime is 66145544029. The next prime is 66145544173. The reversal of 66145544100 is 144554166.

66145544100 is a `hidden beast` number, since 6 + 6 + 1 + 4 + 5 + 544 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 985834404 + 65159709696 = 31398^2 + 255264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36746625 + ... + 36748424.

Almost surely, 2^66145544100 is an apocalyptic number.

66145544100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66145544100 is an abundant number, since it is smaller than the sum of its proper divisors (141183991950).

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

66145544100 is a wasteful number, since it uses less digits than its factorization.

66145544100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73495069 (or 73495059 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 66145544100 in words is "sixty-six billion, one hundred forty-five million, five hundred forty-four thousand, one hundred".