1334295320064 has 240 divisors, whose sum is σ = 4152210620976. Its totient is φ = 379640217600.

The previous prime is 1334295319999. The next prime is 1334295320107. The reversal of 1334295320064 is 4600235924331.

It is a super-2 number, since 2×1334295320064² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1334295319998 and 1334295320025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18101844 + ... + 18175404.

Almost surely, 2^{1334295320064} is an apocalyptic number.

1334295320064 is a gapful number since it is divisible by the number (14) 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 1334295320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076105310488).

1334295320064 is an abundant number, since it is smaller than the sum of its proper divisors (2817915300912).

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

1334295320064 is an equidigital number, since it uses as much as digits as its factorization.

1334295320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73837 (or 73814 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 1334295320064 in words is "one trillion, three hundred thirty-four billion, two hundred ninety-five million, three hundred twenty thousand, sixty-four".