45106110450 has 72 divisors (see below), whose sum is σ = 121434513408. Its totient is φ = 12003539040.

The previous prime is 45106110449. The next prime is 45106110521. The reversal of 45106110450 is 5401160154.

45106110450 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 611 + 0 + 45 + 0 = 666.

It is a super-2 number, since 2×45106110450² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116239 + ... + 322061.

It is an arithmetic number, because the mean of its divisors is an integer number (1686590464).

Almost surely, 2^45106110450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45106110450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60717256704).

45106110450 is an abundant number, since it is smaller than the sum of its proper divisors (76328402958).

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

45106110450 is a wasteful number, since it uses less digits than its factorization.

45106110450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206328 (or 206320 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 45106110450 in words is "forty-five billion, one hundred six million, one hundred ten thousand, four hundred fifty".