451146444601140 has 192 divisors, whose sum is σ = 1446620921867520. Its totient is φ = 116651361669120.

The previous prime is 451146444601117. The next prime is 451146444601141. The reversal of 451146444601140 is 41106444641154.

451146444601140 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 4 + 6 + 44 + 460 + 1 + 140 = 666.

It is a super-2 number, since 2×451146444601140² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451146444601141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58897269 + ... + 66114908.

It is an arithmetic number, because the mean of its divisors is an integer number (7534483968060).

Almost surely, 2^{451146444601140} is an apocalyptic number.

It is an amenable number.

451146444601140 is an abundant number, since it is smaller than the sum of its proper divisors (995474477266380).

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

451146444601140 is a wasteful number, since it uses less digits than its factorization.

451146444601140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125012399 (or 125012391 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 451146444601140 in words is "four hundred fifty-one trillion, one hundred forty-six billion, four hundred forty-four million, six hundred one thousand, one hundred forty".