47098224230400 has 4320 divisors, whose sum is σ = 216497021428800. Its totient is φ = 10113169489920.

The previous prime is 47098224230399. The next prime is 47098224230459. The reversal of 47098224230400 is 403242289074.

It is a happy number.

47098224230400 is a `hidden beast` number, since 4 + 7 + 0 + 9 + 8 + 2 + 2 + 4 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1272924979182 + ... + 1272924979218.

Almost surely, 2^{47098224230400} is an apocalyptic number.

47098224230400 is a gapful number since it is divisible by the number (40) 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 47098224230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108248510714400).

47098224230400 is an abundant number, since it is smaller than the sum of its proper divisors (169398797198400).

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

47098224230400 is an frugal number, since it uses more digits than its factorization.

47098224230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 47098224230400 in words is "forty-seven trillion, ninety-eight billion, two hundred twenty-four million, two hundred thirty thousand, four hundred".