47608434788544 has 672 divisors, whose sum is σ = 172722423444480. Its totient is φ = 12216252432384.

The previous prime is 47608434788539. The next prime is 47608434788549. The reversal of 47608434788544 is 44588743480674.

It is a happy number.

47608434788544 is a `hidden beast` number, since 4 + 7 + 6 + 0 + 8 + 4 + 3 + 4 + 78 + 8 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (47608434788539) and next prime (47608434788549).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (47608434788549) by changing a digit.

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, 660522492 + ... + 660594564.

It is an arithmetic number, because the mean of its divisors is an integer number (257027415840).

Almost surely, 2^{47608434788544} 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 47608434788544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86361211722240).

47608434788544 is an abundant number, since it is smaller than the sum of its proper divisors (125113988655936).

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

47608434788544 is a wasteful number, since it uses less digits than its factorization.

47608434788544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72557 (or 72544 counting only the distinct ones).

The product of its (nonzero) digits is 2312110080, while the sum is 72.

The spelling of 47608434788544 in words is "forty-seven trillion, six hundred eight billion, four hundred thirty-four million, seven hundred eighty-eight thousand, five hundred forty-four".