146279482260480 has 1760 divisors, whose sum is σ = 541659368764800. Its totient is φ = 37737486876672.

The previous prime is 146279482260473. The next prime is 146279482260493. The reversal of 146279482260480 is 84062284972641.

It is a happy number.

146279482260480 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 7 + 94 + 8 + 2 + 2 + 60 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 414389467984 + ... + 414389468336.

It is an arithmetic number, because the mean of its divisors is an integer number (307761004980).

Almost surely, 2^{146279482260480} is an apocalyptic number.

146279482260480 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 146279482260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270829684382400).

146279482260480 is an abundant number, since it is smaller than the sum of its proper divisors (395379886504320).

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

146279482260480 is a wasteful number, since it uses less digits than its factorization.

146279482260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 146279482260480 in words is "one hundred forty-six trillion, two hundred seventy-nine billion, four hundred eighty-two million, two hundred sixty thousand, four hundred eighty".