45835720588240 has 160 divisors (see below), whose sum is σ = 121392546379776. Its totient is φ = 15932098490880.

The previous prime is 45835720588199. The next prime is 45835720588247. The reversal of 45835720588240 is 4288502753854.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45835720588247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29252397 + ... + 30779443.

Almost surely, 2^{45835720588240} is an apocalyptic number.

45835720588240 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 45835720588240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60696273189888).

45835720588240 is an abundant number, since it is smaller than the sum of its proper divisors (75556825791536).

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

45835720588240 is a wasteful number, since it uses less digits than its factorization.

45835720588240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528577 (or 1528571 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 61.

The spelling of 45835720588240 in words is "forty-five trillion, eight hundred thirty-five billion, seven hundred twenty million, five hundred eighty-eight thousand, two hundred forty".