47434732629408 has 216 divisors, whose sum is σ = 142776175415328. Its totient is φ = 14936209622784.

The previous prime is 47434732629377. The next prime is 47434732629481. The reversal of 47434732629408 is 80492623743474.

47434732629408 is a `hidden beast` number, since 4 + 74 + 3 + 473 + 2 + 6 + 2 + 94 + 0 + 8 = 666.

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 35 ways as a sum of consecutive naturals, for example, 35419485 + ... + 36734307.

It is an arithmetic number, because the mean of its divisors is an integer number (661000812108).

Almost surely, 2^{47434732629408} is an apocalyptic number.

47434732629408 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 47434732629408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71388087707664).

47434732629408 is an abundant number, since it is smaller than the sum of its proper divisors (95341442785920).

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

47434732629408 is a wasteful number, since it uses less digits than its factorization.

47434732629408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315224 (or 1315194 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 63.

The spelling of 47434732629408 in words is "forty-seven trillion, four hundred thirty-four billion, seven hundred thirty-two million, six hundred twenty-nine thousand, four hundred eight".