46947880143360 has 3200 divisors, whose sum is σ = 205888719421440. Its totient is φ = 9999463219200.

The previous prime is 46947880143337. The next prime is 46947880143371. The reversal of 46947880143360 is 6334108874964.

It is a happy number.

46947880143360 is a `hidden beast` number, since 4 + 6 + 94 + 78 + 80 + 1 + 43 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 319 ways as a sum of consecutive naturals, for example, 167074306420 + ... + 167074306700.

Almost surely, 2^{46947880143360} is an apocalyptic number.

46947880143360 is a gapful number since it is divisible by the number (40) 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 46947880143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102944359710720).

46947880143360 is an abundant number, since it is smaller than the sum of its proper divisors (158940839278080).

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

46947880143360 is a wasteful number, since it uses less digits than its factorization.

46947880143360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 46947880143360 in words is "forty-six trillion, nine hundred forty-seven billion, eight hundred eighty million, one hundred forty-three thousand, three hundred sixty".