10069145062416 has 960 divisors, whose sum is σ = 33513854976000. Its totient is φ = 2888397388800.

The previous prime is 10069145062381. The next prime is 10069145062429. The reversal of 10069145062416 is 61426054196001.

10069145062416 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 9 + 1 + 4 + 5 + 0 + 624 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24031372255 + ... + 24031372673.

It is an arithmetic number, because the mean of its divisors is an integer number (34910265600).

Almost surely, 2^{10069145062416} is an apocalyptic number.

10069145062416 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 10069145062416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756927488000).

10069145062416 is an abundant number, since it is smaller than the sum of its proper divisors (23444709913584).

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

10069145062416 is a wasteful number, since it uses less digits than its factorization.

10069145062416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10069145062416 in words is "ten trillion, sixty-nine billion, one hundred forty-five million, sixty-two thousand, four hundred sixteen".