73914291230208 has 1280 divisors, whose sum is σ = 252029949050880. Its totient is φ = 18919843430400.

The previous prime is 73914291230207. The next prime is 73914291230233. The reversal of 73914291230208 is 80203219241937.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73914291230203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13938200485 + ... + 13938205787.

It is an arithmetic number, because the mean of its divisors is an integer number (196898397696).

Almost surely, 2^{73914291230208} is an apocalyptic number.

73914291230208 is a gapful number since it is divisible by the number (78) 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 73914291230208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126014974525440).

73914291230208 is an abundant number, since it is smaller than the sum of its proper divisors (178115657820672).

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

73914291230208 is a wasteful number, since it uses less digits than its factorization.

73914291230208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5491 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 73914291230208 in words is "seventy-three trillion, nine hundred fourteen billion, two hundred ninety-one million, two hundred thirty thousand, two hundred eight".