462645342162045 has 96 divisors (see below), whose sum is σ = 970567294394880. Its totient is φ = 199017533767680.

The previous prime is 462645342162041. The next prime is 462645342162071. The reversal of 462645342162045 is 540261243546264.

462645342162045 is a `hidden beast` number, since 4 + 6 + 2 + 6 + 4 + 5 + 3 + 4 + 2 + 1 + 620 + 4 + 5 = 666.

It is not a de Polignac number, because 462645342162045 - 2² = 462645342162041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 462645342161982 and 462645342162000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462645342162041) 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 95 ways as a sum of consecutive naturals, for example, 21197296 + ... + 37075814.

It is an arithmetic number, because the mean of its divisors is an integer number (10110075983280).

Almost surely, 2^{462645342162045} is an apocalyptic number.

462645342162045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

462645342162045 is an abundant number, since it is smaller than the sum of its proper divisors (507921952232835).

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

462645342162045 is a wasteful number, since it uses less digits than its factorization.

462645342162045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15883995 (or 15883992 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 462645342162045 in words is "four hundred sixty-two trillion, six hundred forty-five billion, three hundred forty-two million, one hundred sixty-two thousand, forty-five".