47048601600 has 2496 divisors, whose sum is σ = 245714273280. Its totient is φ = 8493465600.

The previous prime is 47048601569. The next prime is 47048601641. The reversal of 47048601600 is 610684074.

47048601600 is a `hidden beast` number, since 4 + 7 + 0 + 48 + 6 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2767564792 + ... + 2767564808.

Almost surely, 2^47048601600 is an apocalyptic number.

47048601600 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 47048601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122857136640).

47048601600 is an abundant number, since it is smaller than the sum of its proper divisors (198665671680).

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

47048601600 is a wasteful number, since it uses less digits than its factorization.

47048601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 47048601600 in words is "forty-seven billion, forty-eight million, six hundred one thousand, six hundred".