4516451601600 has 336 divisors, whose sum is σ = 15335884288800. Its totient is φ = 1162310123520.

The previous prime is 4516451601553. The next prime is 4516451601637. The reversal of 4516451601600 is 61061546154.

It is a happy number.

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, 355928056 + ... + 355940744.

Almost surely, 2^{4516451601600} is an apocalyptic number.

4516451601600 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 4516451601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667942144400).

4516451601600 is an abundant number, since it is smaller than the sum of its proper divisors (10819432687200).

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

4516451601600 is a wasteful number, since it uses less digits than its factorization.

4516451601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15300 (or 15285 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 4516451601600 in words is "four trillion, five hundred sixteen billion, four hundred fifty-one million, six hundred one thousand, six hundred".