146563522560 has 1344 divisors, whose sum is σ = 664658047872. Its totient is φ = 28991029248.

The previous prime is 146563522537. The next prime is 146563522579. The reversal of 146563522560 is 65225365641.

146563522560 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 63 + 5 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×146563522560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 570285952 + ... + 570286208.

It is an arithmetic number, because the mean of its divisors is an integer number (494537238).

Almost surely, 2^146563522560 is an apocalyptic number.

146563522560 is a gapful number since it is divisible by the number (10) 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 146563522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332329023936).

146563522560 is an abundant number, since it is smaller than the sum of its proper divisors (518094525312).

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

146563522560 is a wasteful number, since it uses less digits than its factorization.

146563522560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 146563522560 in words is "one hundred forty-six billion, five hundred sixty-three million, five hundred twenty-two thousand, five hundred sixty".