744681410144 has 96 divisors (see below), whose sum is σ = 1804163880960. Its totient is φ = 295284492288.

The previous prime is 744681410141. The next prime is 744681410149. The reversal of 744681410144 is 441014186447.

It is a super-2 number, since 2×744681410144² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 744681410095 and 744681410104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744681410141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1432592 + ... + 1881935.

It is an arithmetic number, because the mean of its divisors is an integer number (18793373760).

Almost surely, 2^744681410144 is an apocalyptic number.

It is an amenable number.

744681410144 is an abundant number, since it is smaller than the sum of its proper divisors (1059482470816).

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

744681410144 is a wasteful number, since it uses less digits than its factorization.

744681410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314620 (or 3314612 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The spelling of 744681410144 in words is "seven hundred forty-four billion, six hundred eighty-one million, four hundred ten thousand, one hundred forty-four".