10073121714216 has 480 divisors, whose sum is σ = 32326597527840. Its totient is φ = 2905447968000.

The previous prime is 10073121714211. The next prime is 10073121714239. The reversal of 10073121714216 is 61241712137001.

10073121714216 is a `hidden beast` number, since 10 + 0 + 7 + 3 + 1 + 217 + 1 + 421 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10073121714211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 417838435 + ... + 417862541.

It is an arithmetic number, because the mean of its divisors is an integer number (67347078183).

Almost surely, 2^{10073121714216} 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 10073121714216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16163298763920).

10073121714216 is an abundant number, since it is smaller than the sum of its proper divisors (22253475813624).

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

10073121714216 is a wasteful number, since it uses less digits than its factorization.

10073121714216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24259 (or 24215 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10073121714216 in words is "ten trillion, seventy-three billion, one hundred twenty-one million, seven hundred fourteen thousand, two hundred sixteen".