146823445547064 has 512 divisors, whose sum is σ = 484055260416000. Its totient is φ = 40648822272000.

The previous prime is 146823445547063. The next prime is 146823445547087. The reversal of 146823445547064 is 460745544328641.

It is a happy number.

146823445547064 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 2 + 3 + 4 + 4 + 554 + 70 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 146823445546992 and 146823445547010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146823445547063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11758097829 + ... + 11758110315.

It is an arithmetic number, because the mean of its divisors is an integer number (945420430500).

Almost surely, 2^{146823445547064} 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 146823445547064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242027630208000).

146823445547064 is an abundant number, since it is smaller than the sum of its proper divisors (337231814868936).

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

146823445547064 is a wasteful number, since it uses less digits than its factorization.

146823445547064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16396 (or 16386 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 63.

The spelling of 146823445547064 in words is "one hundred forty-six trillion, eight hundred twenty-three billion, four hundred forty-five million, five hundred forty-seven thousand, sixty-four".