146827166400 has 672 divisors, whose sum is σ = 577283884800. Its totient is φ = 36180172800.

The previous prime is 146827166383. The next prime is 146827166471. The reversal of 146827166400 is 4661728641.

146827166400 is a `hidden beast` number, since 1 + 4 + 6 + 82 + 7 + 166 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33650619 + ... + 33654981.

It is an arithmetic number, because the mean of its divisors is an integer number (859053400).

Almost surely, 2^146827166400 is an apocalyptic number.

146827166400 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 146827166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288641942400).

146827166400 is an abundant number, since it is smaller than the sum of its proper divisors (430456718400).

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

146827166400 is a wasteful number, since it uses less digits than its factorization.

146827166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 146827166400 in words is "one hundred forty-six billion, eight hundred twenty-seven million, one hundred sixty-six thousand, four hundred".