4814501852160 has 4752 divisors, whose sum is σ = 24302626463232. Its totient is φ = 869518540800.

The previous prime is 4814501852159. The next prime is 4814501852183. The reversal of 4814501852160 is 612581054184.

4814501852160 is a `hidden beast` number, since 4 + 8 + 1 + 4 + 50 + 18 + 521 + 60 = 666.

It is a super-3 number, since 3×4814501852160³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 130121671662 + ... + 130121671698.

Almost surely, 2^{4814501852160} is an apocalyptic number.

4814501852160 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 4814501852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12151313231616).

4814501852160 is an abundant number, since it is smaller than the sum of its proper divisors (19488124611072).

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

4814501852160 is a wasteful number, since it uses less digits than its factorization.

4814501852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

It can be divided in two parts, 4814501 and 852160, that added together give a triangular number (5666661 = T₃₃₆₆).

The spelling of 4814501852160 in words is "four trillion, eight hundred fourteen billion, five hundred one million, eight hundred fifty-two thousand, one hundred sixty".