462128721345 has 48 divisors (see below), whose sum is σ = 810573558912. Its totient is φ = 243540552960.

The previous prime is 462128721337. The next prime is 462128721347. The reversal of 462128721345 is 543127821264.

462128721345 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 287 + 21 + 345 = 666.

It is not a de Polignac number, because 462128721345 - 2³ = 462128721337 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 462128721345.

It is not an unprimeable number, because it can be changed into a prime (462128721347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2009110 + ... + 2227280.

It is an arithmetic number, because the mean of its divisors is an integer number (16886949144).

Almost surely, 2^462128721345 is an apocalyptic number.

462128721345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

462128721345 is a deficient number, since it is larger than the sum of its proper divisors (348444837567).

462128721345 is a wasteful number, since it uses less digits than its factorization.

462128721345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218742 (or 218739 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 462128721345 in words is "four hundred sixty-two billion, one hundred twenty-eight million, seven hundred twenty-one thousand, three hundred forty-five".