53346789915408 has 320 divisors, whose sum is σ = 174397137868800. Its totient is φ = 15454961533440.

The previous prime is 53346789915407. The next prime is 53346789915449. The reversal of 53346789915408 is 80451998764335.

53346789915408 is a `hidden beast` number, since 5 + 3 + 3 + 4 + 6 + 78 + 9 + 9 + 1 + 540 + 8 = 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 (53346789915407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216173466 + ... + 216420102.

It is an arithmetic number, because the mean of its divisors is an integer number (544991055840).

Almost surely, 2^{53346789915408} 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 53346789915408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87198568934400).

53346789915408 is an abundant number, since it is smaller than the sum of its proper divisors (121050347953392).

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

53346789915408 is a wasteful number, since it uses less digits than its factorization.

53346789915408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248667 (or 248655 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 53346789915408 in words is "fifty-three trillion, three hundred forty-six billion, seven hundred eighty-nine million, nine hundred fifteen thousand, four hundred eight".