1399357194768 has 960 divisors, whose sum is σ = 4864548648960. Its totient is φ = 370743754752.

The previous prime is 1399357194761. The next prime is 1399357194791. The reversal of 1399357194768 is 8674917539931.

1399357194768 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 3 + 571 + 9 + 47 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1399357194696 and 1399357194705.

It is not an unprimeable number, because it can be changed into a prime (1399357194761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2782022005 + ... + 2782022507.

It is an arithmetic number, because the mean of its divisors is an integer number (5067238176).

Almost surely, 2^{1399357194768} is an apocalyptic number.

1399357194768 is a gapful number since it is divisible by the number (18) 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 1399357194768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432274324480).

1399357194768 is an abundant number, since it is smaller than the sum of its proper divisors (3465191454192).

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

1399357194768 is a wasteful number, since it uses less digits than its factorization.

1399357194768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 707 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 72.

The spelling of 1399357194768 in words is "one trillion, three hundred ninety-nine billion, three hundred fifty-seven million, one hundred ninety-four thousand, seven hundred sixty-eight".