463254236145 has 96 divisors (see below), whose sum is σ = 896122375200. Its totient is φ = 220280266752.

The previous prime is 463254236101. The next prime is 463254236189. The reversal of 463254236145 is 541632452364.

463254236145 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 5 + 4 + 23 + 614 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (463254236101) and next prime (463254236189).

It can be written as a sum of positive squares in 16 ways, for example, as 5666927841 + 457587308304 = 75279^2 + 676452^2 .

It is not a de Polignac number, because 463254236145 - 2²⁸ = 462985800689 is a prime.

It is a super-2 number, since 2×463254236145² (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 463254236145.

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 95 ways as a sum of consecutive naturals, for example, 978811 + ... + 1372799.

It is an arithmetic number, because the mean of its divisors is an integer number (9334608075).

Almost surely, 2^463254236145 is an apocalyptic number.

463254236145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

463254236145 is a deficient number, since it is larger than the sum of its proper divisors (432868139055).

463254236145 is a wasteful number, since it uses less digits than its factorization.

463254236145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394099 (or 394096 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 463254236145 in words is "four hundred sixty-three billion, two hundred fifty-four million, two hundred thirty-six thousand, one hundred forty-five".