5461346634336 has 192 divisors, whose sum is σ = 16771539052800. Its totient is φ = 1724198980608.

The previous prime is 5461346634329. The next prime is 5461346634343. The reversal of 5461346634336 is 6334366431645.

5461346634336 is a `hidden beast` number, since 54 + 61 + 3 + 46 + 63 + 433 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5461346634329) and next prime (5461346634343).

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 31 ways as a sum of consecutive naturals, for example, 68135595 + ... + 68215701.

It is an arithmetic number, because the mean of its divisors is an integer number (87351765900).

Almost surely, 2^{5461346634336} 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 5461346634336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385769526400).

5461346634336 is an abundant number, since it is smaller than the sum of its proper divisors (11310192418464).

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

5461346634336 is a wasteful number, since it uses less digits than its factorization.

5461346634336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84298 (or 84284 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 54.

The spelling of 5461346634336 in words is "five trillion, four hundred sixty-one billion, three hundred forty-six million, six hundred thirty-four thousand, three hundred thirty-six".