107471942943456 has 384 divisors, whose sum is σ = 349829870616576. Its totient is φ = 28131727472640.

The previous prime is 107471942943439. The next prime is 107471942943473. The reversal of 107471942943456 is 654349249174701.

It is an interprime number because it is at equal distance from previous prime (107471942943439) and next prime (107471942943473).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 644747035 + ... + 644913701.

It is an arithmetic number, because the mean of its divisors is an integer number (911015288064).

Almost surely, 2^{107471942943456} is an apocalyptic number.

107471942943456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107471942943456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174914935308288).

107471942943456 is an abundant number, since it is smaller than the sum of its proper divisors (242357927673120).

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

107471942943456 is a wasteful number, since it uses less digits than its factorization.

107471942943456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167254 (or 167246 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 107471942943456 in words is "one hundred seven trillion, four hundred seventy-one billion, nine hundred forty-two million, nine hundred forty-three thousand, four hundred fifty-six".