47416778293248 has 1440 divisors, whose sum is σ = 184676379681024. Its totient is φ = 11765828026368.

The previous prime is 47416778293201. The next prime is 47416778293273. The reversal of 47416778293248 is 84239287761474.

47416778293248 is a `hidden beast` number, since 4 + 7 + 416 + 7 + 7 + 82 + 93 + 2 + 48 = 666.

It is a super-2 number, since 2×47416778293248² (a number of 28 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16424237661 + ... + 16424240547.

Almost surely, 2^{47416778293248} is an apocalyptic number.

47416778293248 is a gapful number since it is divisible by the number (48) 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 47416778293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92338189840512).

47416778293248 is an abundant number, since it is smaller than the sum of its proper divisors (137259601387776).

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

47416778293248 is an equidigital number, since it uses as much as digits as its factorization.

47416778293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2929 counting only the distinct ones).

The product of its digits is 910393344, while the sum is 72.

The spelling of 47416778293248 in words is "forty-seven trillion, four hundred sixteen billion, seven hundred seventy-eight million, two hundred ninety-three thousand, two hundred forty-eight".