47970041856 has 360 divisors, whose sum is σ = 148719189696. Its totient is φ = 13636730880.

The previous prime is 47970041851. The next prime is 47970041879. The reversal of 47970041856 is 65814007974.

It is a super-2 number, since 2×47970041856² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 47970041799 and 47970041808.

It is not an unprimeable number, because it can be changed into a prime (47970041851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156254055 + ... + 156254361.

Almost surely, 2^47970041856 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 47970041856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74359594848).

47970041856 is an abundant number, since it is smaller than the sum of its proper divisors (100749147840).

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

47970041856 is a wasteful number, since it uses less digits than its factorization.

47970041856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 47970041856 in words is "forty-seven billion, nine hundred seventy million, forty-one thousand, eight hundred fifty-six".