45593690388480 has 1152 divisors, whose sum is σ = 177024238110720. Its totient is φ = 10776969216000.

The previous prime is 45593690388397. The next prime is 45593690388509. The reversal of 45593690388480 is 8488309639554.

It is a happy number.

45593690388480 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 3 + 69 + 0 + 3 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 45593690388399 and 45593690388408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4865398195 + ... + 4865407565.

It is an arithmetic number, because the mean of its divisors is an integer number (153666873360).

Almost surely, 2^{45593690388480} is an apocalyptic number.

45593690388480 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 45593690388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88512119055360).

45593690388480 is an abundant number, since it is smaller than the sum of its proper divisors (131430547722240).

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

45593690388480 is a wasteful number, since it uses less digits than its factorization.

45593690388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9579 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 45593690388480 in words is "forty-five trillion, five hundred ninety-three billion, six hundred ninety million, three hundred eighty-eight thousand, four hundred eighty".