4859464371300 has 1440 divisors, whose sum is σ = 21233737620480. Its totient is φ = 930675225600.

The previous prime is 4859464371299. The next prime is 4859464371301. The reversal of 4859464371300 is 31734649584.

4859464371300 is a `hidden beast` number, since 4 + 8 + 594 + 6 + 4 + 37 + 13 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4859464371299) and next prime (4859464371301).

It is a super-2 number, since 2×4859464371300² (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 not an unprimeable number, because it can be changed into a prime (4859464371301) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 438455559 + ... + 438466641.

Almost surely, 2^{4859464371300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4859464371300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10616868810240).

4859464371300 is an abundant number, since it is smaller than the sum of its proper divisors (16374273249180).

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

4859464371300 is a wasteful number, since it uses less digits than its factorization.

4859464371300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11183 (or 11167 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4859464371300 in words is "four trillion, eight hundred fifty-nine billion, four hundred sixty-four million, three hundred seventy-one thousand, three hundred".