45337685057280 has 1080 divisors, whose sum is σ = 205868426646960. Its totient is φ = 9420806062080.

The previous prime is 45337685057267. The next prime is 45337685057317. The reversal of 45337685057280 is 8275058673354.

45337685057280 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 7 + 6 + 8 + 50 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×45337685057280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55477876 + ... + 56289164.

It is an arithmetic number, because the mean of its divisors is an integer number (190618913562).

Almost surely, 2^{45337685057280} is an apocalyptic number.

45337685057280 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 45337685057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102934213323480).

45337685057280 is an abundant number, since it is smaller than the sum of its proper divisors (160530741589680).

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

45337685057280 is a wasteful number, since it uses less digits than its factorization.

45337685057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811347 (or 811317 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 45337685057280 in words is "forty-five trillion, three hundred thirty-seven billion, six hundred eighty-five million, fifty-seven thousand, two hundred eighty".