147044966400 has 252 divisors, whose sum is σ = 526722198522. Its totient is φ = 39211499520.

The previous prime is 147044966389. The next prime is 147044966417. The reversal of 147044966400 is 4669440741.

147044966400 is a `hidden beast` number, since 147 + 0 + 4 + 49 + 66 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 134342774784 + 12702191616 = 366528^2 + 112704^2 .

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 17 ways as a sum of consecutive naturals, for example, 1803312 + ... + 1883088.

Almost surely, 2^147044966400 is an apocalyptic number.

147044966400 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 147044966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263361099261).

147044966400 is an abundant number, since it is smaller than the sum of its proper divisors (379677232122).

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

147044966400 is an equidigital number, since it uses as much as digits as its factorization.

147044966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79819 (or 79787 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 147044966400 in words is "one hundred forty-seven billion, forty-four million, nine hundred sixty-six thousand, four hundred".