47461986000 has 480 divisors, whose sum is σ = 194760034560. Its totient is φ = 10620288000.

The previous prime is 47461985999. The next prime is 47461986029. The reversal of 47461986000 is 68916474.

47461986000 is a `hidden beast` number, since 47 + 461 + 98 + 60 + 0 + 0 = 666.

47461986000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2564781 + ... + 2583219.

It is an arithmetic number, because the mean of its divisors is an integer number (405750072).

Almost surely, 2^47461986000 is an apocalyptic number.

47461986000 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 47461986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97380017280).

47461986000 is an abundant number, since it is smaller than the sum of its proper divisors (147298048560).

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

47461986000 is a wasteful number, since it uses less digits than its factorization.

47461986000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18492 (or 18473 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 47461986000 in words is "forty-seven billion, four hundred sixty-one million, nine hundred eighty-six thousand".