147783398400 has 1980 divisors, whose sum is σ = 653576640640. Its totient is φ = 32845824000.

The previous prime is 147783398393. The next prime is 147783398437. The reversal of 147783398400 is 4893387741.

147783398400 is a `hidden beast` number, since 1 + 4 + 77 + 83 + 3 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

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

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 4767206385 + ... + 4767206415.

Almost surely, 2^147783398400 is an apocalyptic number.

147783398400 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 147783398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326788320320).

147783398400 is an abundant number, since it is smaller than the sum of its proper divisors (505793242240).

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

147783398400 is a wasteful number, since it uses less digits than its factorization.

147783398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 147783398400 in words is "one hundred forty-seven billion, seven hundred eighty-three million, three hundred ninety-eight thousand, four hundred".