47228977152000 has 3200 divisors, whose sum is σ = 212813279078400. Its totient is φ = 10192158720000.

The previous prime is 47228977151989. The next prime is 47228977152011. The reversal of 47228977152000 is 25177982274.

47228977152000 is a `hidden beast` number, since 4 + 7 + 2 + 28 + 97 + 7 + 1 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47228977151989) and next prime (47228977152011).

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×47228977152000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1151926271980 + ... + 1151926272020.

It is an arithmetic number, because the mean of its divisors is an integer number (66504149712).

Almost surely, 2^{47228977152000} is an apocalyptic number.

47228977152000 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 47228977152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106406639539200).

47228977152000 is an abundant number, since it is smaller than the sum of its proper divisors (165584301926400).

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

47228977152000 is an frugal number, since it uses more digits than its factorization.

47228977152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 47228977152000 in words is "forty-seven trillion, two hundred twenty-eight billion, nine hundred seventy-seven million, one hundred fifty-two thousand".