146478366720 has 768 divisors, whose sum is σ = 606537434880. Its totient is φ = 31973179392.

The previous prime is 146478366703. The next prime is 146478366733. The reversal of 146478366720 is 27663874641.

146478366720 is a `hidden beast` number, since 1 + 46 + 478 + 3 + 66 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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, 237403852 + ... + 237404468.

It is an arithmetic number, because the mean of its divisors is an integer number (789762285).

Almost surely, 2^146478366720 is an apocalyptic number.

146478366720 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 146478366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303268717440).

146478366720 is an abundant number, since it is smaller than the sum of its proper divisors (460059068160).

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

146478366720 is an equidigital number, since it uses as much as digits as its factorization.

146478366720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 146478366720 in words is "one hundred forty-six billion, four hundred seventy-eight million, three hundred sixty-six thousand, seven hundred twenty".