4545176025600 has 1440 divisors, whose sum is σ = 19613917128960. Its totient is φ = 1027815505920.

The previous prime is 4545176025583. The next prime is 4545176025617. The reversal of 4545176025600 is 65206715454.

4545176025600 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 17 + 6 + 0 + 25 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4545176025583) and next prime (4545176025617).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1642635417 + ... + 1642638183.

It is an arithmetic number, because the mean of its divisors is an integer number (13620775784).

Almost surely, 2^{4545176025600} is an apocalyptic number.

4545176025600 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 4545176025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9806958564480).

4545176025600 is an abundant number, since it is smaller than the sum of its proper divisors (15068741103360).

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

4545176025600 is a wasteful number, since it uses less digits than its factorization.

4545176025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 4545176025600 in words is "four trillion, five hundred forty-five billion, one hundred seventy-six million, twenty-five thousand, six hundred".