63120254144064 has 112 divisors (see below), whose sum is σ = 179857203009792. Its totient is φ = 19421083164672.

The previous prime is 63120254144063. The next prime is 63120254144081. The reversal of 63120254144064 is 46044145202136.

It is a super-2 number, since 2×63120254144064² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63120254144063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 95875272 + ... + 96531384.

It is an arithmetic number, because the mean of its divisors is an integer number (1605867884016).

Almost surely, 2^{63120254144064} is an apocalyptic number.

63120254144064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

63120254144064 is an abundant number, since it is smaller than the sum of its proper divisors (116736948865728).

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

63120254144064 is a wasteful number, since it uses less digits than its factorization.

63120254144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694684 (or 694674 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 63120254144064 in words is "sixty-three trillion, one hundred twenty billion, two hundred fifty-four million, one hundred forty-four thousand, sixty-four".