146285222400 has 840 divisors, whose sum is σ = 554458294764. Its totient is φ = 38220595200.

The previous prime is 146285222399. The next prime is 146285222417. The reversal of 146285222400 is 4222582641.

146285222400 is a `hidden beast` number, since 1 + 4 + 6 + 28 + 5 + 222 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 56659233024 + 89625989376 = 238032^2 + 299376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 569203072 + ... + 569203328.

Almost surely, 2^146285222400 is an apocalyptic number.

146285222400 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 146285222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277229147382).

146285222400 is an abundant number, since it is smaller than the sum of its proper divisors (408173072364).

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

146285222400 is an frugal number, since it uses more digits than its factorization.

146285222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 146285222400 in words is "one hundred forty-six billion, two hundred eighty-five million, two hundred twenty-two thousand, four hundred".