1334485587456 has 960 divisors, whose sum is σ = 4797138677760. Its totient is φ = 364807618560.

The previous prime is 1334485587427. The next prime is 1334485587473. The reversal of 1334485587456 is 6547855844331.

1334485587456 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 4 + 8 + 5 + 587 + 45 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1334485587393 and 1334485587402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2162861260 + ... + 2162861876.

It is an arithmetic number, because the mean of its divisors is an integer number (4997019456).

Almost surely, 2^{1334485587456} is an apocalyptic number.

1334485587456 is a gapful number since it is divisible by the number (16) 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 1334485587456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398569338880).

1334485587456 is an abundant number, since it is smaller than the sum of its proper divisors (3462653090304).

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

1334485587456 is a wasteful number, since it uses less digits than its factorization.

1334485587456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 763 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 63.

The spelling of 1334485587456 in words is "one trillion, three hundred thirty-four billion, four hundred eighty-five million, five hundred eighty-seven thousand, four hundred fifty-six".