146605821264 has 480 divisors, whose sum is σ = 520430976000. Its totient is φ = 39286404864.

The previous prime is 146605821239. The next prime is 146605821269. The reversal of 146605821264 is 462128506641.

It is a happy number.

146605821264 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 0 + 582 + 1 + 2 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146605821269) 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, 41424007 + ... + 41427545.

It is an arithmetic number, because the mean of its divisors is an integer number (1084231200).

Almost surely, 2^146605821264 is an apocalyptic number.

146605821264 is a gapful number since it is divisible by the number (14) 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 146605821264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260215488000).

146605821264 is an abundant number, since it is smaller than the sum of its proper divisors (373825154736).

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

146605821264 is a wasteful number, since it uses less digits than its factorization.

146605821264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 146605821264 in words is "one hundred forty-six billion, six hundred five million, eight hundred twenty-one thousand, two hundred sixty-four".