617461648272 has 600 divisors, whose sum is σ = 2247607602240. Its totient is φ = 162603624960.

The previous prime is 617461648147. The next prime is 617461648277. The reversal of 617461648272 is 272846164716.

617461648272 is a `hidden beast` number, since 6 + 17 + 4 + 616 + 4 + 8 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (617461648277) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44636397 + ... + 44650227.

Almost surely, 2^617461648272 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 617461648272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123803801120).

617461648272 is an abundant number, since it is smaller than the sum of its proper divisors (1630145953968).

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

617461648272 is a wasteful number, since it uses less digits than its factorization.

617461648272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13921 (or 13899 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 617461648272 in words is "six hundred seventeen billion, four hundred sixty-one million, six hundred forty-eight thousand, two hundred seventy-two".