63145444454136 has 128 divisors (see below), whose sum is σ = 191669284800000. Its totient is φ = 19103037857280.

The previous prime is 63145444454111. The next prime is 63145444454291.

63145444454136 is a `hidden beast` number, since 6 + 3 + 1 + 4 + 54 + 4 + 4 + 454 + 136 = 666.

63145444454136 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20760721 + ... + 23607168.

It is an arithmetic number, because the mean of its divisors is an integer number (1497416287500).

Almost surely, 2^{63145444454136} is an apocalyptic number.

63145444454136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

63145444454136 is an abundant number, since it is smaller than the sum of its proper divisors (128523840345864).

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

63145444454136 is a wasteful number, since it uses less digits than its factorization.

63145444454136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44368514 (or 44368504 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 63145444454136 in words is "sixty-three trillion, one hundred forty-five billion, four hundred forty-four million, four hundred fifty-four thousand, one hundred thirty-six".