5356837453968 has 1920 divisors, whose sum is σ = 21784005734400. Its totient is φ = 1229628211200.

The previous prime is 5356837453951. The next prime is 5356837453969. The reversal of 5356837453968 is 8693547386535.

5356837453968 is a `hidden beast` number, since 5 + 3 + 5 + 6 + 83 + 7 + 4 + 539 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5356837453896 and 5356837453905.

It is not an unprimeable number, because it can be changed into a prime (5356837453969) 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 383 ways as a sum of consecutive naturals, for example, 9414476788 + ... + 9414477356.

It is an arithmetic number, because the mean of its divisors is an integer number (11345836320).

Almost surely, 2^{5356837453968} 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 5356837453968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892002867200).

5356837453968 is an abundant number, since it is smaller than the sum of its proper divisors (16427168280432).

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

5356837453968 is a wasteful number, since it uses less digits than its factorization.

5356837453968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 705 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 72.

The spelling of 5356837453968 in words is "five trillion, three hundred fifty-six billion, eight hundred thirty-seven million, four hundred fifty-three thousand, nine hundred sixty-eight".