73221378048 has 936 divisors, whose sum is σ = 276862614912. Its totient is φ = 18218483712.

The previous prime is 73221378037. The next prime is 73221378049. The reversal of 73221378048 is 84087312237.

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-2 number, since 2×73221378048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73221377994 and 73221378012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73221378049) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1003032540 + ... + 1003032612.

It is an arithmetic number, because the mean of its divisors is an integer number (295793392).

Almost surely, 2^73221378048 is an apocalyptic number.

73221378048 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 73221378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138431307456).

73221378048 is an abundant number, since it is smaller than the sum of its proper divisors (203641236864).

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

73221378048 is a wasteful number, since it uses less digits than its factorization.

73221378048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 73221378048 in words is "seventy-three billion, two hundred twenty-one million, three hundred seventy-eight thousand, forty-eight".