451045145361120 has 96 divisors (see below), whose sum is σ = 1421017704197280. Its totient is φ = 120259615795200.

The previous prime is 451045145361091. The next prime is 451045145361163. The reversal of 451045145361120 is 21163541540154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71541255 + ... + 77590214.

It is an arithmetic number, because the mean of its divisors is an integer number (14802267752055).

Almost surely, 2^{451045145361120} is an apocalyptic number.

451045145361120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451045145361120 is an abundant number, since it is smaller than the sum of its proper divisors (969972558836160).

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

451045145361120 is a wasteful number, since it uses less digits than its factorization.

451045145361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149137788 (or 149137780 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 451045145361120 in words is "four hundred fifty-one trillion, forty-five billion, one hundred forty-five million, three hundred sixty-one thousand, one hundred twenty".