63148633344 has 288 divisors, whose sum is σ = 191365493760. Its totient is φ = 20533174272.

The previous prime is 63148633309. The next prime is 63148633351. The reversal of 63148633344 is 44333684136.

63148633344 is a `hidden beast` number, since 6 + 3 + 1 + 4 + 8 + 633 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 63148633344.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 81692542 + ... + 81693314.

It is an arithmetic number, because the mean of its divisors is an integer number (664463520).

Almost surely, 2^63148633344 is an apocalyptic number.

63148633344 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 63148633344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95682746880).

63148633344 is an abundant number, since it is smaller than the sum of its proper divisors (128216860416).

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

63148633344 is a wasteful number, since it uses less digits than its factorization.

63148633344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1054 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The spelling of 63148633344 in words is "sixty-three billion, one hundred forty-eight million, six hundred thirty-three thousand, three hundred forty-four".