10674956144 has 160 divisors (see below), whose sum is σ = 23638487040. Its totient is φ = 4648089600.

The previous prime is 10674956129. The next prime is 10674956147. The reversal of 10674956144 is 44165947601.

It is a super-2 number, since 2×10674956144² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10674956147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13563719 + ... + 13564505.

It is an arithmetic number, because the mean of its divisors is an integer number (147740544).

Almost surely, 2^10674956144 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 10674956144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11819243520).

10674956144 is an abundant number, since it is smaller than the sum of its proper divisors (12963530896).

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

10674956144 is a wasteful number, since it uses less digits than its factorization.

10674956144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 10674956144 in words is "ten billion, six hundred seventy-four million, nine hundred fifty-six thousand, one hundred forty-four".