47101623575328 has 384 divisors, whose sum is σ = 159611887411200. Its totient is φ = 13235521388544.

The previous prime is 47101623575311. The next prime is 47101623575353. The reversal of 47101623575328 is 82357532610174.

47101623575328 is a `hidden beast` number, since 4 + 7 + 1 + 0 + 1 + 62 + 3 + 575 + 3 + 2 + 8 = 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 63 ways as a sum of consecutive naturals, for example, 122600751 + ... + 122984337.

It is an arithmetic number, because the mean of its divisors is an integer number (415655956800).

Almost surely, 2^{47101623575328} is an apocalyptic number.

47101623575328 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 47101623575328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79805943705600).

47101623575328 is an abundant number, since it is smaller than the sum of its proper divisors (112510263835872).

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

47101623575328 is a wasteful number, since it uses less digits than its factorization.

47101623575328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383949 (or 383935 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 47101623575328 in words is "forty-seven trillion, one hundred one billion, six hundred twenty-three million, five hundred seventy-five thousand, three hundred twenty-eight".