701268053472 has 432 divisors, whose sum is σ = 2399180539392. Its totient is φ = 193532613120.

The previous prime is 701268053419. The next prime is 701268053489. The reversal of 701268053472 is 274350862107.

701268053472 is a `hidden beast` number, since 7 + 0 + 126 + 8 + 0 + 53 + 472 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 298792203 + ... + 298794549.

It is an arithmetic number, because the mean of its divisors is an integer number (5553658656).

Almost surely, 2^701268053472 is an apocalyptic number.

701268053472 is a gapful number since it is divisible by the number (72) 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 701268053472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199590269696).

701268053472 is an abundant number, since it is smaller than the sum of its proper divisors (1697912485920).

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

701268053472 is a wasteful number, since it uses less digits than its factorization.

701268053472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 701268053472 in words is "seven hundred one billion, two hundred sixty-eight million, fifty-three thousand, four hundred seventy-two".