946087747488 has 576 divisors, whose sum is σ = 3065109465600. Its totient is φ = 287009049600.

The previous prime is 946087747481. The next prime is 946087747543. The reversal of 946087747488 is 884747780649.

946087747488 is a `hidden beast` number, since 9 + 4 + 6 + 0 + 8 + 77 + 474 + 88 = 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 (946087747481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1349625538 + ... + 1349626238.

It is an arithmetic number, because the mean of its divisors is an integer number (5321370600).

Almost surely, 2^946087747488 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 946087747488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532554732800).

946087747488 is an abundant number, since it is smaller than the sum of its proper divisors (2119021718112).

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

946087747488 is an equidigital number, since it uses as much as digits as its factorization.

946087747488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 946087747488 in words is "nine hundred forty-six billion, eighty-seven million, seven hundred forty-seven thousand, four hundred eighty-eight".