45432415350 has 288 divisors, whose sum is σ = 146990368800. Its totient is φ = 10287648000.

The previous prime is 45432415339. The next prime is 45432415363. The reversal of 45432415350 is 5351423454.

45432415350 is a `hidden beast` number, since 4 + 54 + 32 + 41 + 535 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7207200 + ... + 7213500.

It is an arithmetic number, because the mean of its divisors is an integer number (510383225).

Almost surely, 2^45432415350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45432415350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73495184400).

45432415350 is an abundant number, since it is smaller than the sum of its proper divisors (101557953450).

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

45432415350 is a wasteful number, since it uses less digits than its factorization.

45432415350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6427 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 45432415350 in words is "forty-five billion, four hundred thirty-two million, four hundred fifteen thousand, three hundred fifty".