1334784999072 has 192 divisors, whose sum is σ = 4081692384000. Its totient is φ = 374007988224.

The previous prime is 1334784998983. The next prime is 1334784999089. The reversal of 1334784999072 is 2709994874331.

It is a super-2 number, since 2×1334784999072² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1334784998994 and 1334784999012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97901568 + ... + 97915200.

It is an arithmetic number, because the mean of its divisors is an integer number (21258814500).

Almost surely, 2^{1334784999072} is an apocalyptic number.

1334784999072 is a gapful number since it is divisible by the number (12) 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 1334784999072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040846192000).

1334784999072 is an abundant number, since it is smaller than the sum of its proper divisors (2746907384928).

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

1334784999072 is a wasteful number, since it uses less digits than its factorization.

1334784999072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16455 (or 16447 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 1334784999072 in words is "one trillion, three hundred thirty-four billion, seven hundred eighty-four million, nine hundred ninety-nine thousand, seventy-two".