63852290343072 has 384 divisors, whose sum is σ = 232220927877120. Its totient is φ = 16582811857920.

The previous prime is 63852290343011. The next prime is 63852290343133. The reversal of 63852290343072 is 27034309225836.

It is a happy number.

63852290343072 is a `hidden beast` number, since 6 + 3 + 8 + 5 + 2 + 290 + 343 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (63852290343011) and next prime (63852290343133).

It is a super-2 number, since 2×63852290343072² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535690393 + ... + 535809575.

It is an arithmetic number, because the mean of its divisors is an integer number (604741999680).

Almost surely, 2^{63852290343072} 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 63852290343072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116110463938560).

63852290343072 is an abundant number, since it is smaller than the sum of its proper divisors (168368637534048).

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

63852290343072 is a wasteful number, since it uses less digits than its factorization.

63852290343072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127273 (or 127259 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 63852290343072 in words is "sixty-three trillion, eight hundred fifty-two billion, two hundred ninety million, three hundred forty-three thousand, seventy-two".