714148581960 has 640 divisors, whose sum is σ = 2689331673600. Its totient is φ = 168565432320.

The previous prime is 714148581943. The next prime is 714148582039. The reversal of 714148581960 is 69185841417.

714148581960 is a `hidden beast` number, since 7 + 14 + 1 + 48 + 581 + 9 + 6 + 0 = 666.

It is a super-4 number, since 4×714148581960⁴ (a number of 49 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 714148581897 and 714148581906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3700251624 + ... + 3700251816.

It is an arithmetic number, because the mean of its divisors is an integer number (4202080740).

Almost surely, 2^714148581960 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 714148581960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344665836800).

714148581960 is an abundant number, since it is smaller than the sum of its proper divisors (1975183091640).

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

714148581960 is a wasteful number, since it uses less digits than its factorization.

714148581960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 714148581960 in words is "seven hundred fourteen billion, one hundred forty-eight million, five hundred eighty-one thousand, nine hundred sixty".