73094114340 has 384 divisors, whose sum is σ = 249251788800. Its totient is φ = 17675159040.

The previous prime is 73094114321. The next prime is 73094114341. The reversal of 73094114340 is 4341149037.

73094114340 is a `hidden beast` number, since 7 + 309 + 4 + 1 + 1 + 4 + 340 = 666.

It is a super-2 number, since 2×73094114340² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 73094114295 and 73094114304.

It is not an unprimeable number, because it can be changed into a prime (73094114341) 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, 192860271 + ... + 192860649.

It is an arithmetic number, because the mean of its divisors is an integer number (649093200).

Almost surely, 2^73094114340 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 73094114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124625894400).

73094114340 is an abundant number, since it is smaller than the sum of its proper divisors (176157674460).

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

73094114340 is a wasteful number, since it uses less digits than its factorization.

73094114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 73094114340 in words is "seventy-three billion, ninety-four million, one hundred fourteen thousand, three hundred forty".