63220146325056 has 672 divisors, whose sum is σ = 230521236330240. Its totient is φ = 16585641492480.

The previous prime is 63220146325051. The next prime is 63220146325057. The reversal of 63220146325056 is 65052364102236.

63220146325056 is a `hidden beast` number, since 6 + 3 + 2 + 2 + 0 + 1 + 4 + 632 + 5 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×63220146325056² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63220146325051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 345575946 + ... + 345758838.

Almost surely, 2^{63220146325056} 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 63220146325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115260618165120).

63220146325056 is an abundant number, since it is smaller than the sum of its proper divisors (167301090005184).

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

63220146325056 is a wasteful number, since it uses less digits than its factorization.

63220146325056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183020 (or 182963 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 63220146325056 in words is "sixty-three trillion, two hundred twenty billion, one hundred forty-six million, three hundred twenty-five thousand, fifty-six".