73949188096 has 117 divisors (see below), whose sum is σ = 172307915559. Its totient is φ = 31640297472.

The previous prime is 73949188091. The next prime is 73949188133. The reversal of 73949188096 is 69088194937.

The square root of 73949188096 is 271936.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73949188091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 121827025 + ... + 121827631.

It is an arithmetic number, because the mean of its divisors is an integer number (1472717227).

Almost surely, 2^73949188096 is an apocalyptic number.

73949188096 is the 271936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73949188096

73949188096 is an abundant number, since it is smaller than the sum of its proper divisors (98358727463).

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

73949188096 is an frugal number, since it uses more digits than its factorization.

73949188096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 64.

Multiplying 73949188096 by its sum of digits (64), we get a square (4732748038144 = 2175488²).

73949188096 divided by its sum of digits (64) gives a square (1155456064 = 33992²).

The spelling of 73949188096 in words is "seventy-three billion, nine hundred forty-nine million, one hundred eighty-eight thousand, ninety-six".