47087778963456 has 1344 divisors, whose sum is σ = 174928151414016. Its totient is φ = 11848384512000.

The previous prime is 47087778963439. The next prime is 47087778963503. The reversal of 47087778963456 is 65436987778074.

47087778963456 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 7 + 7 + 78 + 96 + 3 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×47087778963456² (a number of 28 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 78349049556 + ... + 78349050156.

It is an arithmetic number, because the mean of its divisors is an integer number (130154874564).

Almost surely, 2^{47087778963456} 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 47087778963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87464075707008).

47087778963456 is an abundant number, since it is smaller than the sum of its proper divisors (127840372450560).

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

47087778963456 is a wasteful number, since it uses less digits than its factorization.

47087778963456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 11948912640, while the sum is 81.

The spelling of 47087778963456 in words is "forty-seven trillion, eighty-seven billion, seven hundred seventy-eight million, nine hundred sixty-three thousand, four hundred fifty-six".