726253137301761 has 12 divisors (see below), whose sum is σ = 1073428409655888. Its totient is φ = 472909019638104.

The previous prime is 726253137301733. The next prime is 726253137301799. The reversal of 726253137301761 is 167103731352627.

726253137301761 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 531 + 3 + 7 + 30 + 1 + 76 + 1 = 666.

It is not a de Polignac number, because 726253137301761 - 2²² = 726253133107457 is a prime.

It is a super-2 number, since 2×726253137301761² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 726253137301698 and 726253137301707.

It is not an unprimeable number, because it can be changed into a prime (726253137301721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 938311546515 + ... + 938311547288.

It is an arithmetic number, because the mean of its divisors is an integer number (89452367471324).

Almost surely, 2^{726253137301761} is an apocalyptic number.

It is an amenable number.

726253137301761 is a deficient number, since it is larger than the sum of its proper divisors (347175272354127).

726253137301761 is a wasteful number, since it uses less digits than its factorization.

726253137301761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876623093852 (or 1876623093849 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 726253137301761 in words is "seven hundred twenty-six trillion, two hundred fifty-three billion, one hundred thirty-seven million, three hundred one thousand, seven hundred sixty-one".