5346354004992 has 1320 divisors, whose sum is σ = 21821026550400. Its totient is φ = 1281703772160.

The previous prime is 5346354004991. The next prime is 5346354004997. The reversal of 5346354004992 is 2994004536435.

5346354004992 is a `hidden beast` number, since 5 + 3 + 4 + 6 + 3 + 540 + 0 + 4 + 9 + 92 = 666.

It is a super-2 number, since 2×5346354004992² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5346354004991) 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, 581184009 + ... + 581193207.

It is an arithmetic number, because the mean of its divisors is an integer number (16531080720).

Almost surely, 2^{5346354004992} is an apocalyptic number.

5346354004992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5346354004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10910513275200).

5346354004992 is an abundant number, since it is smaller than the sum of its proper divisors (16474672545408).

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

5346354004992 is a wasteful number, since it uses less digits than its factorization.

5346354004992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9269 (or 9235 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 5346354004992 in words is "five trillion, three hundred forty-six billion, three hundred fifty-four million, four thousand, nine hundred ninety-two".