4574145945600 has 1680 divisors, whose sum is σ = 21131839814976. Its totient is φ = 950206464000.

The previous prime is 4574145945563. The next prime is 4574145945637. The reversal of 4574145945600 is 65495414754.

4574145945600 is a `hidden beast` number, since 4 + 5 + 7 + 41 + 4 + 594 + 5 + 6 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4574145945563) and next prime (4574145945637).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×4574145945600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1277335810 + ... + 1277339390.

Almost surely, 2^{4574145945600} is an apocalyptic number.

4574145945600 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 4574145945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565919907488).

4574145945600 is an abundant number, since it is smaller than the sum of its proper divisors (16557693869376).

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

4574145945600 is a wasteful number, since it uses less digits than its factorization.

4574145945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 4574145945600 in words is "four trillion, five hundred seventy-four billion, one hundred forty-five million, nine hundred forty-five thousand, six hundred".