63093156430464 has 384 divisors, whose sum is σ = 190719755366400. Its totient is φ = 19982069065728.

The previous prime is 63093156430463. The next prime is 63093156430489. The reversal of 63093156430464 is 46403465139036.

63093156430464 is a `hidden beast` number, since 6 + 3 + 0 + 9 + 3 + 1 + 564 + 30 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 63093156430464.

It is not an unprimeable number, because it can be changed into a prime (63093156430463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11431987897 + ... + 11431993415.

It is an arithmetic number, because the mean of its divisors is an integer number (496666029600).

Almost surely, 2^{63093156430464} is an apocalyptic number.

63093156430464 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 63093156430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95359877683200).

63093156430464 is an abundant number, since it is smaller than the sum of its proper divisors (127626598935936).

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

63093156430464 is a wasteful number, since it uses less digits than its factorization.

63093156430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8372 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 63093156430464 in words is "sixty-three trillion, ninety-three billion, one hundred fifty-six million, four hundred thirty thousand, four hundred sixty-four".