713777690612448 has 1536 divisors, whose sum is σ = 2685244649472000. Its totient is φ = 182841055488000.

The previous prime is 713777690612341. The next prime is 713777690612491. The reversal of 713777690612448 is 844216096777317.

713777690612448 is a `hidden beast` number, since 7 + 1 + 37 + 7 + 7 + 6 + 90 + 61 + 2 + 448 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 86591975815 + ... + 86591984057.

It is an arithmetic number, because the mean of its divisors is an integer number (1748206152000).

Almost surely, 2^{713777690612448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713777690612448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342622324736000).

713777690612448 is an abundant number, since it is smaller than the sum of its proper divisors (1971466958859552).

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

713777690612448 is a wasteful number, since it uses less digits than its factorization.

713777690612448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8658 (or 8630 counting only the distinct ones).

The product of its (nonzero) digits is 597445632, while the sum is 72.

The spelling of 713777690612448 in words is "seven hundred thirteen trillion, seven hundred seventy-seven billion, six hundred ninety million, six hundred twelve thousand, four hundred forty-eight".