45960838409220 has 384 divisors, whose sum is σ = 158723301703680. Its totient is φ = 9705806415360.

The previous prime is 45960838409209. The next prime is 45960838409221. The reversal of 45960838409220 is 2290483806954.

It is a super-2 number, since 2×45960838409220² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (45960838409221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156470851 + ... + 156764309.

It is an arithmetic number, because the mean of its divisors is an integer number (413341931520).

Almost surely, 2^{45960838409220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45960838409220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79361650851840).

45960838409220 is an abundant number, since it is smaller than the sum of its proper divisors (112762463294460).

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

45960838409220 is a wasteful number, since it uses less digits than its factorization.

45960838409220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294055 (or 294053 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 45960838409220 in words is "forty-five trillion, nine hundred sixty billion, eight hundred thirty-eight million, four hundred nine thousand, two hundred twenty".