47617888601088 has 1408 divisors, whose sum is σ = 163033115212800. Its totient is φ = 13617148723200.

The previous prime is 47617888601081. The next prime is 47617888601093. The reversal of 47617888601088 is 88010688871674.

47617888601088 is a `hidden beast` number, since 4 + 7 + 6 + 1 + 7 + 8 + 8 + 8 + 601 + 0 + 8 + 8 = 666.

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 (47617888601081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44880196078 + ... + 44880197138.

Almost surely, 2^{47617888601088} is an apocalyptic number.

47617888601088 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 47617888601088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81516557606400).

47617888601088 is an abundant number, since it is smaller than the sum of its proper divisors (115415226611712).

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

47617888601088 is a wasteful number, since it uses less digits than its factorization.

47617888601088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 72.

The spelling of 47617888601088 in words is "forty-seven trillion, six hundred seventeen billion, eight hundred eighty-eight million, six hundred one thousand, eighty-eight".