47486610705408 has 528 divisors, whose sum is σ = 150784066344960. Its totient is φ = 13242024198144.

The previous prime is 47486610705383. The next prime is 47486610705467. The reversal of 47486610705408 is 80450701668474.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2596448328 + ... + 2596466616.

Almost surely, 2^{47486610705408} is an apocalyptic number.

47486610705408 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 47486610705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75392033172480).

47486610705408 is an abundant number, since it is smaller than the sum of its proper divisors (103297455639552).

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

47486610705408 is a wasteful number, since it uses less digits than its factorization.

47486610705408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18740 (or 18715 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 47486610705408 in words is "forty-seven trillion, four hundred eighty-six billion, six hundred ten million, seven hundred five thousand, four hundred eight".