47148192000 has 1296 divisors, whose sum is σ = 213359236272. Its totient is φ = 9909043200.

The previous prime is 47148191971. The next prime is 47148192061. The reversal of 47148192000 is 29184174.

It can be written as a sum of positive squares in 8 ways, for example, as 9692008704 + 37456183296 = 98448^2 + 193536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 183455872 + ... + 183456128.

Almost surely, 2^47148192000 is an apocalyptic number.

47148192000 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 47148192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106679618136).

47148192000 is an abundant number, since it is smaller than the sum of its proper divisors (166211044272).

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

47148192000 is a wasteful number, since it uses less digits than its factorization.

47148192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 47148192000 in words is "forty-seven billion, one hundred forty-eight million, one hundred ninety-two thousand".