3631945642416 has 480 divisors, whose sum is σ = 12863277947520. Its totient is φ = 931161194496.

The previous prime is 3631945642397. The next prime is 3631945642459. The reversal of 3631945642416 is 6142465491363.

3631945642416 is a `hidden beast` number, since 3 + 6 + 31 + 9 + 4 + 564 + 2 + 41 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 75677820 + ... + 75725796.

It is an arithmetic number, because the mean of its divisors is an integer number (26798495724).

Almost surely, 2^{3631945642416} is an apocalyptic number.

3631945642416 is a gapful number since it is divisible by the number (36) 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 3631945642416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431638973760).

3631945642416 is an abundant number, since it is smaller than the sum of its proper divisors (9231332305104).

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

3631945642416 is a wasteful number, since it uses less digits than its factorization.

3631945642416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48173 (or 48164 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 3631945642416 in words is "three trillion, six hundred thirty-one billion, nine hundred forty-five million, six hundred forty-two thousand, four hundred sixteen".