47865716441088 has 1024 divisors, whose sum is σ = 159816951866880. Its totient is φ = 12407707533312.

The previous prime is 47865716441071. The next prime is 47865716441099. The reversal of 47865716441088 is 88014461756874.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×47865716441088² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242973179806 + ... + 242973180002.

Almost surely, 2^{47865716441088} is an apocalyptic number.

47865716441088 is a gapful number since it is divisible by the number (48) 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 47865716441088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79908475933440).

47865716441088 is an abundant number, since it is smaller than the sum of its proper divisors (111951235425792).

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

47865716441088 is a wasteful number, since it uses less digits than its factorization.

47865716441088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 69.

The spelling of 47865716441088 in words is "forty-seven trillion, eight hundred sixty-five billion, seven hundred sixteen million, four hundred forty-one thousand, eighty-eight".