1468611256320 has 1008 divisors, whose sum is σ = 5816831333040. Its totient is φ = 339781091328.

The previous prime is 1468611256313. The next prime is 1468611256349. The reversal of 1468611256320 is 236521168641.

1468611256320 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 6 + 1 + 1 + 2 + 5 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11563868097 + ... + 11563868223.

It is an arithmetic number, because the mean of its divisors is an integer number (5770666005).

Almost surely, 2^{1468611256320} is an apocalyptic number.

1468611256320 is a gapful number since it is divisible by the number (10) 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 1468611256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908415666520).

1468611256320 is an abundant number, since it is smaller than the sum of its proper divisors (4348220076720).

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

1468611256320 is a wasteful number, since it uses less digits than its factorization.

1468611256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1468611256320 in words is "one trillion, four hundred sixty-eight billion, six hundred eleven million, two hundred fifty-six thousand, three hundred twenty".