1456319260368 has 720 divisors, whose sum is σ = 5054994584640. Its totient is φ = 404482885632.

The previous prime is 1456319260351. The next prime is 1456319260381. The reversal of 1456319260368 is 8630629136541.

1456319260368 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 3 + 19 + 260 + 368 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3186693996 + ... + 3186694452.

It is an arithmetic number, because the mean of its divisors is an integer number (7020825812).

Almost surely, 2^{1456319260368} is an apocalyptic number.

1456319260368 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 1456319260368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527497292320).

1456319260368 is an abundant number, since it is smaller than the sum of its proper divisors (3598675324272).

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

1456319260368 is a wasteful number, since it uses less digits than its factorization.

1456319260368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1456319260368 in words is "one trillion, four hundred fifty-six billion, three hundred nineteen million, two hundred sixty thousand, three hundred sixty-eight".