47153290081968 has 600 divisors, whose sum is σ = 158697599557728. Its totient is φ = 13240502009856.

The previous prime is 47153290081967. The next prime is 47153290081991. The reversal of 47153290081968 is 86918009235174.

47153290081968 is a `hidden beast` number, since 4 + 7 + 1 + 532 + 9 + 0 + 0 + 8 + 1 + 96 + 8 = 666.

47153290081968 is digitally balanced in base 5, 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 (63).

It is not an unprimeable number, because it can be changed into a prime (47153290081967) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12431659080 + ... + 12431662872.

It is a 1-persistent number, because it is pandigital, but 2⋅47153290081968 = 94306580163936 is not.

Almost surely, 2^{47153290081968} is an apocalyptic number.

47153290081968 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 47153290081968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79348799778864).

47153290081968 is an abundant number, since it is smaller than the sum of its proper divisors (111544309475760).

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

47153290081968 is a wasteful number, since it uses less digits than its factorization.

47153290081968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 47153290081968 in words is "forty-seven trillion, one hundred fifty-three billion, two hundred ninety million, eighty-one thousand, nine hundred sixty-eight".