1456735837968 has 160 divisors (see below), whose sum is σ = 4310722310400. Its totient is φ = 470657101824.

The previous prime is 1456735837967. The next prime is 1456735838027. The reversal of 1456735837968 is 8697385376541.

It is a happy number.

1456735837968 is a `hidden beast` number, since 1 + 4 + 567 + 3 + 58 + 3 + 7 + 9 + 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 = 1456735837896 and 1456735837905.

It is not an unprimeable number, because it can be changed into a prime (1456735837967) 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 31 ways as a sum of consecutive naturals, for example, 4030528 + ... + 4377056.

It is an arithmetic number, because the mean of its divisors is an integer number (26942014440).

Almost surely, 2^{1456735837968} is an apocalyptic number.

1456735837968 is a gapful number since it is divisible by the number (18) 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 1456735837968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155361155200).

1456735837968 is an abundant number, since it is smaller than the sum of its proper divisors (2853986472432).

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

1456735837968 is a wasteful number, since it uses less digits than its factorization.

1456735837968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346846 (or 346834 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 1456735837968 in words is "one trillion, four hundred fifty-six billion, seven hundred thirty-five million, eight hundred thirty-seven thousand, nine hundred sixty-eight".