45663238080 has 672 divisors, whose sum is σ = 177160488960. Its totient is φ = 11152650240.

The previous prime is 45663238073. The next prime is 45663238091. The reversal of 45663238080 is 8083236654.

It is a happy number.

45663238080 is a `hidden beast` number, since 4 + 5 + 6 + 632 + 3 + 8 + 0 + 8 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 45800142 + ... + 45801138.

It is an arithmetic number, because the mean of its divisors is an integer number (263631680).

Almost surely, 2^45663238080 is an apocalyptic number.

45663238080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45663238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88580244480).

45663238080 is an abundant number, since it is smaller than the sum of its proper divisors (131497250880).

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

45663238080 is a wasteful number, since it uses less digits than its factorization.

45663238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 45663238080 in words is "forty-five billion, six hundred sixty-three million, two hundred thirty-eight thousand, eighty".