146314232064000 has 11520 divisors, whose sum is σ = 799414033017600. Its totient is φ = 26085556224000.

The previous prime is 146314232063963. The next prime is 146314232064017. The reversal of 146314232064000 is 460232413641.

146314232064000 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 1 + 4 + 2 + 3 + 2 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (11520).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2760645887974 + ... + 2760645888026.

It is an arithmetic number, because the mean of its divisors is an integer number (69393579255).

Almost surely, 2^{146314232064000} is an apocalyptic number.

146314232064000 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 146314232064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399707016508800).

146314232064000 is an abundant number, since it is smaller than the sum of its proper divisors (653099800953600).

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

146314232064000 is a wasteful number, since it uses less digits than its factorization.

146314232064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 146314232064000 its reverse (460232413641), we get a palindrome (146774464477641).

The spelling of 146314232064000 in words is "one hundred forty-six trillion, three hundred fourteen billion, two hundred thirty-two million, sixty-four thousand".