4986145543680 has 1440 divisors, whose sum is σ = 21623146253280. Its totient is φ = 1054817648640.

The previous prime is 4986145543669. The next prime is 4986145543693. The reversal of 4986145543680 is 863455416894.

4986145543680 is a `hidden beast` number, since 4 + 9 + 8 + 6 + 1 + 4 + 5 + 543 + 6 + 80 = 666.

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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1170729391 + ... + 1170733649.

It is an arithmetic number, because the mean of its divisors is an integer number (15016073787).

Almost surely, 2^{4986145543680} is an apocalyptic number.

4986145543680 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 4986145543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10811573126640).

4986145543680 is an abundant number, since it is smaller than the sum of its proper divisors (16637000709600).

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

4986145543680 is a wasteful number, since it uses less digits than its factorization.

4986145543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 4986145543680 in words is "four trillion, nine hundred eighty-six billion, one hundred forty-five million, five hundred forty-three thousand, six hundred eighty".