146327868960 has 288 divisors, whose sum is σ = 577433489472. Its totient is φ = 30873507840.

The previous prime is 146327868949. The next prime is 146327868977. The reversal of 146327868960 is 69868723641.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 146327868894 and 146327868903.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66475 + ... + 545045.

It is an arithmetic number, because the mean of its divisors is an integer number (2004977394).

Almost surely, 2^146327868960 is an apocalyptic number.

146327868960 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 146327868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288716744736).

146327868960 is an abundant number, since it is smaller than the sum of its proper divisors (431105620512).

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

146327868960 is a wasteful number, since it uses less digits than its factorization.

146327868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478616 (or 478601 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 146327868960 in words is "one hundred forty-six billion, three hundred twenty-seven million, eight hundred sixty-eight thousand, nine hundred sixty".