1399785117696 has 768 divisors, whose sum is σ = 4982308531200. Its totient is φ = 379912716288.

The previous prime is 1399785117683. The next prime is 1399785117737. The reversal of 1399785117696 is 6967115879931.

1399785117696 is a `hidden beast` number, since 1 + 39 + 9 + 7 + 8 + 511 + 76 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 615830416 + ... + 615832688.

It is an arithmetic number, because the mean of its divisors is an integer number (6487380900).

Almost surely, 2^{1399785117696} is an apocalyptic number.

1399785117696 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 1399785117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491154265600).

1399785117696 is an abundant number, since it is smaller than the sum of its proper divisors (3582523413504).

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

1399785117696 is a wasteful number, since it uses less digits than its factorization.

1399785117696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2365 counting only the distinct ones).

The product of its digits is 154314720, while the sum is 72.

The spelling of 1399785117696 in words is "one trillion, three hundred ninety-nine billion, seven hundred eighty-five million, one hundred seventeen thousand, six hundred ninety-six".