45170192329416 has 288 divisors, whose sum is σ = 155565193567680. Its totient is φ = 11708421177600.

The previous prime is 45170192329319. The next prime is 45170192329417. The reversal of 45170192329416 is 61492329107154.

45170192329416 is a `hidden beast` number, since 4 + 5 + 1 + 7 + 0 + 192 + 32 + 9 + 416 = 666.

It is not an unprimeable number, because it can be changed into a prime (45170192329417) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17704486 + ... + 20094506.

It is an arithmetic number, because the mean of its divisors is an integer number (540156922110).

Almost surely, 2^{45170192329416} 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 45170192329416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77782596783840).

45170192329416 is an abundant number, since it is smaller than the sum of its proper divisors (110395001238264).

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

45170192329416 is a wasteful number, since it uses less digits than its factorization.

45170192329416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390545 (or 2390531 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 45170192329416 in words is "forty-five trillion, one hundred seventy billion, one hundred ninety-two million, three hundred twenty-nine thousand, four hundred sixteen".