63145926144 has 240 divisors, whose sum is σ = 209175183360. Its totient is φ = 17964011520.

The previous prime is 63145926133. The next prime is 63145926167. The reversal of 63145926144 is 44162954136.

63145926144 is a `hidden beast` number, since 6 + 3 + 14 + 592 + 6 + 1 + 44 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 63145926144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7705089 + ... + 7713279.

It is an arithmetic number, because the mean of its divisors is an integer number (871563264).

Almost surely, 2^63145926144 is an apocalyptic number.

63145926144 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 63145926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104587591680).

63145926144 is an abundant number, since it is smaller than the sum of its proper divisors (146029257216).

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

63145926144 is a wasteful number, since it uses less digits than its factorization.

63145926144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8461 (or 8442 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 63145926144 in words is "sixty-three billion, one hundred forty-five million, nine hundred twenty-six thousand, one hundred forty-four".