45819283680 has 72 divisors (see below), whose sum is σ = 156358310472. Its totient is φ = 12218475264.

The previous prime is 45819283661. The next prime is 45819283721. The reversal of 45819283680 is 8638291854.

45819283680 is a `hidden beast` number, since 4 + 581 + 9 + 28 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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, 15908034 + ... + 15910913.

It is an arithmetic number, because the mean of its divisors is an integer number (2171643201).

Almost surely, 2^45819283680 is an apocalyptic number.

45819283680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45819283680 is an abundant number, since it is smaller than the sum of its proper divisors (110539026792).

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

45819283680 is a wasteful number, since it uses less digits than its factorization.

45819283680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31818968 (or 31818957 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 45819283680 in words is "forty-five billion, eight hundred nineteen million, two hundred eighty-three thousand, six hundred eighty".