63301131672384 has 112 divisors (see below), whose sum is σ = 168007771850688. Its totient is φ = 21034471231488.

The previous prime is 63301131672353. The next prime is 63301131672391. The reversal of 63301131672384 is 48327613110336.

63301131672384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162158524 + ... + 162548420.

It is an arithmetic number, because the mean of its divisors is an integer number (1500069391524).

Almost surely, 2^{63301131672384} is an apocalyptic number.

63301131672384 is a gapful number since it is divisible by the number (64) 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 63301131672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84003885925344).

63301131672384 is an abundant number, since it is smaller than the sum of its proper divisors (104706640178304).

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

63301131672384 is a wasteful number, since it uses less digits than its factorization.

63301131672384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392552 (or 392542 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 63301131672384 in words is "sixty-three trillion, three hundred one billion, one hundred thirty-one million, six hundred seventy-two thousand, three hundred eighty-four".