451216605375 has 80 divisors (see below), whose sum is σ = 841952805408. Its totient is φ = 240433920000.

The previous prime is 451216605349. The next prime is 451216605409. The reversal of 451216605375 is 573506612154.

451216605375 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 1 + 6 + 605 + 37 + 5 = 666.

It is not a de Polignac number, because 451216605375 - 2⁹ = 451216604863 is a prime.

It is a super-2 number, since 2×451216605375² (a number of 24 digits) contains 22 as substring.

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 451216605375.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11654800 + ... + 11693450.

Almost surely, 2^451216605375 is an apocalyptic number.

451216605375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

451216605375 is a deficient number, since it is larger than the sum of its proper divisors (390736200033).

451216605375 is a wasteful number, since it uses less digits than its factorization.

451216605375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39831 (or 39812 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 451216605375 in words is "four hundred fifty-one billion, two hundred sixteen million, six hundred five thousand, three hundred seventy-five".