47392038144 has 288 divisors, whose sum is σ = 157826887680. Its totient is φ = 13897267200.

The previous prime is 47392038137. The next prime is 47392038157. The reversal of 47392038144 is 44183029374.

47392038144 is a `hidden beast` number, since 473 + 9 + 2 + 0 + 38 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 47392038144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2346939 + ... + 2367045.

Almost surely, 2^47392038144 is an apocalyptic number.

47392038144 is a gapful number since it is divisible by the number (44) 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 47392038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78913443840).

47392038144 is an abundant number, since it is smaller than the sum of its proper divisors (110434849536).

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

47392038144 is a wasteful number, since it uses less digits than its factorization.

47392038144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20174 (or 20154 counting only the distinct ones).

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

The spelling of 47392038144 in words is "forty-seven billion, three hundred ninety-two million, thirty-eight thousand, one hundred forty-four".