5362351456 has 144 divisors (see below), whose sum is σ = 14103149760. Its totient is φ = 1979147520.

The previous prime is 5362351451. The next prime is 5362351469. The reversal of 5362351456 is 6541532635.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5362351451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319531 + ... + 335893.

It is an arithmetic number, because the mean of its divisors is an integer number (97938540).

Almost surely, 2^5362351456 is an apocalyptic number.

5362351456 is a gapful number since it is divisible by the number (56) 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 5362351456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051574880).

5362351456 is an abundant number, since it is smaller than the sum of its proper divisors (8740798304).

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

5362351456 is a wasteful number, since it uses less digits than its factorization.

5362351456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16417 (or 16402 counting only the distinct ones).

The product of its digits is 324000, while the sum is 40.

The square root of 5362351456 is about 73228.0783306513. The cubic root of 5362351456 is about 1750.3239080441.

The spelling of 5362351456 in words is "five billion, three hundred sixty-two million, three hundred fifty-one thousand, four hundred fifty-six".