1334868646500 has 192 divisors, whose sum is σ = 4320096318720. Its totient is φ = 355878057600.

The previous prime is 1334868646457. The next prime is 1334868646511. The reversal of 1334868646500 is 56468684331.

1334868646500 is a `hidden beast` number, since 1 + 3 + 34 + 8 + 68 + 6 + 46 + 500 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70555042 + ... + 70573958.

It is an arithmetic number, because the mean of its divisors is an integer number (22500501660).

Almost surely, 2^{1334868646500} is an apocalyptic number.

1334868646500 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 1334868646500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160048159360).

1334868646500 is an abundant number, since it is smaller than the sum of its proper divisors (2985227672220).

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

1334868646500 is a wasteful number, since it uses less digits than its factorization.

1334868646500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24172 (or 24154 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 1334868646500 in words is "one trillion, three hundred thirty-four billion, eight hundred sixty-eight million, six hundred forty-six thousand, five hundred".