45359426511360 has 2560 divisors, whose sum is σ = 186988032000000. Its totient is φ = 10391367647232.

The previous prime is 45359426511353. The next prime is 45359426511401. The reversal of 45359426511360 is 6311562495354.

45359426511360 is a `hidden beast` number, since 4 + 5 + 3 + 5 + 9 + 4 + 265 + 11 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45359426511297 and 45359426511306.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 227936816541 + ... + 227936816739.

It is an arithmetic number, because the mean of its divisors is an integer number (73042200000).

Almost surely, 2^{45359426511360} is an apocalyptic number.

45359426511360 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 45359426511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93494016000000).

45359426511360 is an abundant number, since it is smaller than the sum of its proper divisors (141628605488640).

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

45359426511360 is a wasteful number, since it uses less digits than its factorization.

45359426511360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 45359426511360 in words is "forty-five trillion, three hundred fifty-nine billion, four hundred twenty-six million, five hundred eleven thousand, three hundred sixty".