47918268900 has 288 divisors, whose sum is σ = 168739200000. Its totient is φ = 11611514880.

The previous prime is 47918268887. The next prime is 47918268919. The reversal of 47918268900 is 986281974.

47918268900 is a `hidden beast` number, since 479 + 1 + 82 + 6 + 8 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1313101 + ... + 1349099.

It is an arithmetic number, because the mean of its divisors is an integer number (585900000).

Almost surely, 2^47918268900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47918268900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600000).

47918268900 is an abundant number, since it is smaller than the sum of its proper divisors (120820931100).

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

47918268900 is a wasteful number, since it uses less digits than its factorization.

47918268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36068 (or 36055 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 47918268900 in words is "forty-seven billion, nine hundred eighteen million, two hundred sixty-eight thousand, nine hundred".