451645040546154 has 64 divisors (see below), whose sum is σ = 1235268486977280. Its totient is φ = 119115175527360.

The previous prime is 451645040546101. The next prime is 451645040546159.

451645040546154 is a `hidden beast` number, since 4 + 5 + 1 + 6 + 4 + 5 + 0 + 40 + 546 + 1 + 54 = 666.

451645040546154 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 451645040546154.

It is not an unprimeable number, because it can be changed into a prime (451645040546159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45954923917 + ... + 45954933744.

It is an arithmetic number, because the mean of its divisors is an integer number (19301070109020).

Almost surely, 2^{451645040546154} is an apocalyptic number.

451645040546154 is an abundant number, since it is smaller than the sum of its proper divisors (783623446431126).

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

451645040546154 is a wasteful number, since it uses less digits than its factorization.

451645040546154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91909857692 (or 91909857686 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 54.

The spelling of 451645040546154 in words is "four hundred fifty-one trillion, six hundred forty-five billion, forty million, five hundred forty-six thousand, one hundred fifty-four".