73826214912 has 154 divisors (see below), whose sum is σ = 221271517158. Its totient is φ = 24608489472.

The previous prime is 73826214911. The next prime is 73826214929. The reversal of 73826214912 is 21941262837.

73826214912 is a `hidden beast` number, since 7 + 3 + 8 + 2 + 621 + 4 + 9 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62348092416 + 11478122496 = 249696^2 + 107136^2 .

It is a super-2 number, since 2×73826214912² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73826214911) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 697048 + ... + 795944.

Almost surely, 2^73826214912 is an apocalyptic number.

73826214912 is a gapful number since it is divisible by the number (72) 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 73826214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110635758579).

73826214912 is an abundant number, since it is smaller than the sum of its proper divisors (147445302246).

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

73826214912 is an frugal number, since it uses more digits than its factorization.

73826214912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98935 (or 98902 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 73826214912 in words is "seventy-three billion, eight hundred twenty-six million, two hundred fourteen thousand, nine hundred twelve".