27348546456 has 320 divisors, whose sum is σ = 98589173760. Its totient is φ = 6873984000.

The previous prime is 27348546431. The next prime is 27348546481. The reversal of 27348546456 is 65464584372.

27348546456 is a `hidden beast` number, since 2 + 7 + 3 + 48 + 546 + 4 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (27348546431) and next prime (27348546481).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1537936 + ... + 1555616.

It is an arithmetic number, because the mean of its divisors is an integer number (308091168).

Almost surely, 2^27348546456 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 27348546456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49294586880).

27348546456 is an abundant number, since it is smaller than the sum of its proper divisors (71240627304).

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

27348546456 is a wasteful number, since it uses less digits than its factorization.

27348546456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17748 (or 17735 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 27348546456 in words is "twenty-seven billion, three hundred forty-eight million, five hundred forty-six thousand, four hundred fifty-six".