451461628088370 has 160 divisors (see below), whose sum is σ = 1255839375315888. Its totient is φ = 116280981706752.

The previous prime is 451461628088369. The next prime is 451461628088377. The reversal of 451461628088370 is 73880826164154.

451461628088370 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 616 + 2 + 8 + 0 + 8 + 8 + 3 + 7 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 275238153631809 + 176223474456561 = 16590303^2 + 13274919^2 .

It is a junction number, because it is equal to n+sod(n) for n = 451461628088298 and 451461628088307.

It is not an unprimeable number, because it can be changed into a prime (451461628088377) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 50871427 + ... + 59083206.

Almost surely, 2^{451461628088370} is an apocalyptic number.

451461628088370 is an abundant number, since it is smaller than the sum of its proper divisors (804377747227518).

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

451461628088370 is a wasteful number, since it uses less digits than its factorization.

451461628088370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109954826 (or 109954817 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 451461628088370 in words is "four hundred fifty-one trillion, four hundred sixty-one billion, six hundred twenty-eight million, eighty-eight thousand, three hundred seventy".