905007023681 has 18 divisors (see below), whose sum is σ = 936987233238. Its totient is φ = 873597480000.

The previous prime is 905007023653. The next prime is 905007023699. The reversal of 905007023681 is 186320700509.

905007023681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 372667516225 + 532339507456 = 610465^2 + 729616^2 .

It is not a de Polignac number, because 905007023681 - 2¹⁸ = 905006761537 is a prime.

It is a super-2 number, since 2×905007023681² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905007022681) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 615231776 + ... + 615233246.

It is an arithmetic number, because the mean of its divisors is an integer number (52054846291).

Almost surely, 2^905007023681 is an apocalyptic number.

It is an amenable number.

905007023681 is a deficient number, since it is larger than the sum of its proper divisors (31980209557).

905007023681 is an frugal number, since it uses more digits than its factorization.

905007023681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

Multiplying 905007023681 by its sum of digits (41), we get a square (37105287970921 = 6091411²).

905007023681 divided by its sum of digits (41) gives a square (22073342041 = 148571²).

The spelling of 905007023681 in words is "nine hundred five billion, seven million, twenty-three thousand, six hundred eighty-one".