146482261056 has 280 divisors, whose sum is σ = 439229305944. Its totient is φ = 48267878400.

The previous prime is 146482261043. The next prime is 146482261061. The reversal of 146482261056 is 650162284641.

It is a happy number.

146482261056 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 8 + 22 + 610 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57415827456 + 89066433600 = 239616^2 + 298440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208961506 + ... + 208962206.

Almost surely, 2^146482261056 is an apocalyptic number.

146482261056 is a gapful number since it is divisible by the number (16) 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 146482261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219614652972).

146482261056 is an abundant number, since it is smaller than the sum of its proper divisors (292747044888).

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

146482261056 is a wasteful number, since it uses less digits than its factorization.

146482261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 146482261056 in words is "one hundred forty-six billion, four hundred eighty-two million, two hundred sixty-one thousand, fifty-six".