4596364146400 has 144 divisors (see below), whose sum is σ = 12134165894928. Its totient is φ = 1690076160000.

The previous prime is 4596364146383. The next prime is 4596364146403. The reversal of 4596364146400 is 46414636954.

It is a super-2 number, since 2×4596364146400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4596364146403) 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, 1589475 + ... + 3423325.

It is an arithmetic number, because the mean of its divisors is an integer number (84265040937).

Almost surely, 2^{4596364146400} is an apocalyptic number.

4596364146400 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 4596364146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067082947464).

4596364146400 is an abundant number, since it is smaller than the sum of its proper divisors (7537801748528).

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

4596364146400 is a wasteful number, since it uses less digits than its factorization.

4596364146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834125 (or 1834112 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 4596364146400 in words is "four trillion, five hundred ninety-six billion, three hundred sixty-four million, one hundred forty-six thousand, four hundred".