4600145594880 has 240 divisors, whose sum is σ = 17379926033184. Its totient is φ = 1115186749440.

The previous prime is 4600145594879. The next prime is 4600145594881. The reversal of 4600145594880 is 884955410064.

4600145594880 is a `hidden beast` number, since 4 + 6 + 0 + 0 + 1 + 4 + 559 + 4 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4600145594879) and next prime (4600145594881).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4600145594880² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4600145594881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8821974 + ... + 9328853.

Almost surely, 2^{4600145594880} is an apocalyptic number.

4600145594880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4600145594880 is an abundant number, since it is smaller than the sum of its proper divisors (12779780438304).

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

4600145594880 is a wasteful number, since it uses less digits than its factorization.

4600145594880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18150867 (or 18150848 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 4600145594880 in words is "four trillion, six hundred billion, one hundred forty-five million, five hundred ninety-four thousand, eight hundred eighty".