45828123444 has 36 divisors (see below), whose sum is σ = 116490497760. Its totient is φ = 15190698000.

The previous prime is 45828123431. The next prime is 45828123463. The reversal of 45828123444 is 44432182854.

45828123444 is a `hidden beast` number, since 4 + 5 + 82 + 8 + 123 + 444 = 666.

45828123444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×45828123444² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45828123444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3549432 + ... + 3562319.

It is an arithmetic number, because the mean of its divisors is an integer number (3235847160).

Almost surely, 2^45828123444 is an apocalyptic number.

It is an amenable number.

45828123444 is an abundant number, since it is smaller than the sum of its proper divisors (70662374316).

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

45828123444 is a wasteful number, since it uses less digits than its factorization.

45828123444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7111940 (or 7111935 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The spelling of 45828123444 in words is "forty-five billion, eight hundred twenty-eight million, one hundred twenty-three thousand, four hundred forty-four".