45350412511140 has 336 divisors, whose sum is σ = 155796631877376. Its totient is φ = 10992106944000.

The previous prime is 45350412511121. The next prime is 45350412511141. The reversal of 45350412511140 is 4111521405354.

45350412511140 is a `hidden beast` number, since 4 + 5 + 3 + 50 + 412 + 51 + 1 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45350412511095 and 45350412511104.

It is not an unprimeable number, because it can be changed into a prime (45350412511141) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1050948565 + ... + 1050991715.

It is an arithmetic number, because the mean of its divisors is an integer number (463680452016).

Almost surely, 2^{45350412511140} 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 45350412511140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77898315938688).

45350412511140 is an abundant number, since it is smaller than the sum of its proper divisors (110446219366236).

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

45350412511140 is a wasteful number, since it uses less digits than its factorization.

45350412511140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49742 (or 49725 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 45350412511140 its reverse (4111521405354), we get a palindrome (49461933916494).

The spelling of 45350412511140 in words is "forty-five trillion, three hundred fifty billion, four hundred twelve million, five hundred eleven thousand, one hundred forty".