9504655576416 has 3072 divisors, whose sum is σ = 40967700480000. Its totient is φ = 2104959467520.

The previous prime is 9504655576373. The next prime is 9504655576453. The reversal of 9504655576416 is 6146755564059.

9504655576416 is a `hidden beast` number, since 9 + 5 + 0 + 4 + 6 + 5 + 557 + 64 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 56914105165 + ... + 56914105331.

It is an arithmetic number, because the mean of its divisors is an integer number (13335840000).

Almost surely, 2^{9504655576416} is an apocalyptic number.

9504655576416 is a gapful number since it is divisible by the number (96) 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 9504655576416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20483850240000).

9504655576416 is an abundant number, since it is smaller than the sum of its proper divisors (31463044903584).

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

9504655576416 is a wasteful number, since it uses less digits than its factorization.

9504655576416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 9504655576416 in words is "nine trillion, five hundred four billion, six hundred fifty-five million, five hundred seventy-six thousand, four hundred sixteen".