451144101006 has 16 divisors (see below), whose sum is σ = 1002542446800. Its totient is φ = 150381366984.

The previous prime is 451144100993. The next prime is 451144101029. The reversal of 451144101006 is 600101441154.

451144101006 is a `hidden beast` number, since 4 + 511 + 4 + 41 + 0 + 100 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4177260141 + ... + 4177260248.

It is an arithmetic number, because the mean of its divisors is an integer number (62658902925).

Almost surely, 2^451144101006 is an apocalyptic number.

451144101006 is an abundant number, since it is smaller than the sum of its proper divisors (551398345794).

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

451144101006 is a wasteful number, since it uses less digits than its factorization.

451144101006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8354520400 (or 8354520394 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 451144101006 in words is "four hundred fifty-one billion, one hundred forty-four million, one hundred one thousand, six".