63429923377152 has 416 divisors, whose sum is σ = 190590594188160. Its totient is φ = 21104074948608.

The previous prime is 63429923377141. The next prime is 63429923377157. The reversal of 63429923377152 is 25177332992436.

63429923377152 is a `hidden beast` number, since 6 + 3 + 4 + 2 + 99 + 23 + 377 + 152 = 666.

It is a super-3 number, since 3×63429923377152³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 63429923377152.

It is not an unprimeable number, because it can be changed into a prime (63429923377157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5043320688 + ... + 5043333264.

Almost surely, 2^{63429923377152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63429923377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95295297094080).

63429923377152 is an abundant number, since it is smaller than the sum of its proper divisors (127160670811008).

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

63429923377152 is an frugal number, since it uses more digits than its factorization.

63429923377152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13185 (or 13145 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 63.

The spelling of 63429923377152 in words is "sixty-three trillion, four hundred twenty-nine billion, nine hundred twenty-three million, three hundred seventy-seven thousand, one hundred fifty-two".