5346031122432 has 2592 divisors, whose sum is σ = 21967369089120. Its totient is φ = 1239869030400.

The previous prime is 5346031122427. The next prime is 5346031122433. The reversal of 5346031122432 is 2342211306435.

5346031122432 is a `hidden beast` number, since 5 + 3 + 4 + 603 + 1 + 1 + 2 + 2 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5346031122433) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 75296212957 + ... + 75296213027.

It is an arithmetic number, because the mean of its divisors is an integer number (8475065235).

Almost surely, 2^{5346031122432} is an apocalyptic number.

5346031122432 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 5346031122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10983684544560).

5346031122432 is an abundant number, since it is smaller than the sum of its proper divisors (16621337966688).

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

5346031122432 is a wasteful number, since it uses less digits than its factorization.

5346031122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 5346031122432 its reverse (2342211306435), we get a palindrome (7688242428867).

The spelling of 5346031122432 in words is "five trillion, three hundred forty-six billion, thirty-one million, one hundred twenty-two thousand, four hundred thirty-two".