4546463636400 has 240 divisors, whose sum is σ = 16647066019584. Its totient is φ = 1039024419840.

The previous prime is 4546463636381. The next prime is 4546463636419. The reversal of 4546463636400 is 46363646454.

It is an interprime number because it is at equal distance from previous prime (4546463636381) and next prime (4546463636419).

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

It is a super-2 number, since 2×4546463636400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56517007 + ... + 56597393.

Almost surely, 2^{4546463636400} is an apocalyptic number.

4546463636400 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 4546463636400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323533009792).

4546463636400 is an abundant number, since it is smaller than the sum of its proper divisors (12100602383184).

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

4546463636400 is a wasteful number, since it uses less digits than its factorization.

4546463636400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87148 (or 87137 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 51.

The spelling of 4546463636400 in words is "four trillion, five hundred forty-six billion, four hundred sixty-three million, six hundred thirty-six thousand, four hundred".