1947954941856 has 768 divisors, whose sum is σ = 7428647116800. Its totient is φ = 481788518400.

The previous prime is 1947954941839. The next prime is 1947954941969. The reversal of 1947954941856 is 6581494597491.

1947954941856 is a `hidden beast` number, since 1 + 9 + 4 + 79 + 5 + 494 + 18 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 140832861 + ... + 140846691.

It is an arithmetic number, because the mean of its divisors is an integer number (9672717600).

Almost surely, 2^{1947954941856} is an apocalyptic number.

1947954941856 is a gapful number since it is divisible by the number (16) 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 1947954941856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714323558400).

1947954941856 is an abundant number, since it is smaller than the sum of its proper divisors (5480692174944).

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

1947954941856 is a wasteful number, since it uses less digits than its factorization.

1947954941856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13970 (or 13956 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 1947954941856 in words is "one trillion, nine hundred forty-seven billion, nine hundred fifty-four million, nine hundred forty-one thousand, eight hundred fifty-six".