10742314656 has 48 divisors (see below), whose sum is σ = 28203946848. Its totient is φ = 3580089600.

The previous prime is 10742314643. The next prime is 10742314669. The reversal of 10742314656 is 65641324701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10742314643) and next prime (10742314669).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 893646 + ... + 905586.

It is an arithmetic number, because the mean of its divisors is an integer number (587582226).

Almost surely, 2^10742314656 is an apocalyptic number.

10742314656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10742314656 is an abundant number, since it is smaller than the sum of its proper divisors (17461632192).

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

10742314656 is a wasteful number, since it uses less digits than its factorization.

10742314656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21325 (or 21317 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 10742314656 in words is "ten billion, seven hundred forty-two million, three hundred fourteen thousand, six hundred fifty-six".