45414631350 has 144 divisors (see below), whose sum is σ = 133218955584. Its totient is φ = 11000280000.

The previous prime is 45414631337. The next prime is 45414631357. The reversal of 45414631350 is 5313641454.

45414631350 is a `hidden beast` number, since 4 + 5 + 4 + 14 + 631 + 3 + 5 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45414631357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7179289 + ... + 7185611.

It is an arithmetic number, because the mean of its divisors is an integer number (925131636).

Almost surely, 2^45414631350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45414631350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66609477792).

45414631350 is an abundant number, since it is smaller than the sum of its proper divisors (87804324234).

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

45414631350 is a wasteful number, since it uses less digits than its factorization.

45414631350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7803 (or 7795 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 45414631350 in words is "forty-five billion, four hundred fourteen million, six hundred thirty-one thousand, three hundred fifty".