4545295692960 has 768 divisors, whose sum is σ = 17526037132800. Its totient is φ = 976866508800.

The previous prime is 4545295692937. The next prime is 4545295692961. The reversal of 4545295692960 is 692965925454.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 4545295692891 and 4545295692900.

It is not an unprimeable number, because it can be changed into a prime (4545295692961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106703346 + ... + 106745934.

It is an arithmetic number, because the mean of its divisors is an integer number (22820360850).

Almost surely, 2^{4545295692960} is an apocalyptic number.

4545295692960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4545295692960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8763018566400).

4545295692960 is an abundant number, since it is smaller than the sum of its proper divisors (12980741439840).

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

4545295692960 is a wasteful number, since it uses less digits than its factorization.

4545295692960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42705 (or 42697 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 66.

The spelling of 4545295692960 in words is "four trillion, five hundred forty-five billion, two hundred ninety-five million, six hundred ninety-two thousand, nine hundred sixty".