389146146480 has 960 divisors, whose sum is σ = 1684276485120. Its totient is φ = 80844521472.

The previous prime is 389146146439. The next prime is 389146146517. The reversal of 389146146480 is 84641641983.

389146146480 is a `hidden beast` number, since 3 + 8 + 9 + 14 + 6 + 146 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 171202624 + ... + 171204896.

It is an arithmetic number, because the mean of its divisors is an integer number (1754454672).

Almost surely, 2^389146146480 is an apocalyptic number.

389146146480 is a gapful number since it is divisible by the number (30) 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 389146146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842138242560).

389146146480 is an abundant number, since it is smaller than the sum of its proper divisors (1295130338640).

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

389146146480 is a wasteful number, since it uses less digits than its factorization.

389146146480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 389146146480 in words is "three hundred eighty-nine billion, one hundred forty-six million, one hundred forty-six thousand, four hundred eighty".