63385452000 has 1152 divisors, whose sum is σ = 265814535168. Its totient is φ = 14155776000.

The previous prime is 63385451993. The next prime is 63385452001. The reversal of 63385452000 is 25458336.

It is a happy number.

63385452000 is a `hidden beast` number, since 63 + 38 + 545 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63385452001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 246635872 + ... + 246636128.

It is an arithmetic number, because the mean of its divisors is an integer number (230741784).

Almost surely, 2^63385452000 is an apocalyptic number.

63385452000 is a gapful number since it is divisible by the number (60) 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 63385452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132907267584).

63385452000 is an abundant number, since it is smaller than the sum of its proper divisors (202429083168).

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

63385452000 is a wasteful number, since it uses less digits than its factorization.

63385452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 63385452000 in words is "sixty-three billion, three hundred eighty-five million, four hundred fifty-two thousand".