47470686367104 has 5120 divisors, whose sum is σ = 216468806400000. Its totient is φ = 10148284661760.

The previous prime is 47470686367081. The next prime is 47470686367109. The reversal of 47470686367104 is 40176368607474.

47470686367104 is a `hidden beast` number, since 4 + 7 + 470 + 68 + 6 + 36 + 71 + 0 + 4 = 666.

It is a super-2 number, since 2×47470686367104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47470686367109) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2498457177207 + ... + 2498457177225.

It is an arithmetic number, because the mean of its divisors is an integer number (42279063750).

Almost surely, 2^{47470686367104} is an apocalyptic number.

47470686367104 is a gapful number since it is divisible by the number (44) 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 47470686367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108234403200000).

47470686367104 is an abundant number, since it is smaller than the sum of its proper divisors (168998120032896).

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

47470686367104 is a wasteful number, since it uses less digits than its factorization.

47470686367104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 47470686367104 in words is "forty-seven trillion, four hundred seventy billion, six hundred eighty-six million, three hundred sixty-seven thousand, one hundred four".