47670228625536 has 1152 divisors, whose sum is σ = 167399013600000. Its totient is φ = 13452089333760.

The previous prime is 47670228625429. The next prime is 47670228625541. The reversal of 47670228625536 is 63552682207674.

47670228625536 is a `hidden beast` number, since 4 + 7 + 6 + 70 + 2 + 2 + 8 + 6 + 2 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×47670228625536³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4218972015 + ... + 4218983313.

It is an arithmetic number, because the mean of its divisors is an integer number (145311643750).

Almost surely, 2^{47670228625536} 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 47670228625536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83699506800000).

47670228625536 is an abundant number, since it is smaller than the sum of its proper divisors (119728784974464).

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

47670228625536 is a wasteful number, since it uses less digits than its factorization.

47670228625536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428 (or 11393 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 47670228625536 in words is "forty-seven trillion, six hundred seventy billion, two hundred twenty-eight million, six hundred twenty-five thousand, five hundred thirty-six".