146856354480 has 480 divisors, whose sum is σ = 558849231360. Its totient is φ = 35419507200.

The previous prime is 146856354473. The next prime is 146856354487. The reversal of 146856354480 is 84453658641.

146856354480 is a `hidden beast` number, since 1 + 4 + 68 + 56 + 3 + 54 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (146856354473) and next prime (146856354487).

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

It is not an unprimeable number, because it can be changed into a prime (146856354487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55145629 + ... + 55148291.

It is an arithmetic number, because the mean of its divisors is an integer number (1164269232).

Almost surely, 2^146856354480 is an apocalyptic number.

146856354480 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 146856354480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279424615680).

146856354480 is an abundant number, since it is smaller than the sum of its proper divisors (411992876880).

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

146856354480 is a wasteful number, since it uses less digits than its factorization.

146856354480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 146856354480 in words is "one hundred forty-six billion, eight hundred fifty-six million, three hundred fifty-four thousand, four hundred eighty".