73718766144 has 189 divisors, whose sum is σ = 219942285667. Its totient is φ = 24514275456.

The previous prime is 73718766137. The next prime is 73718766157. The reversal of 73718766144 is 44166781737.

It is a happy number.

The square root of 73718766144 is 271512.

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

73718766144 is a `hidden beast` number, since 7 + 3 + 7 + 18 + 7 + 6 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 175939567 + ... + 175939985.

Almost surely, 2^73718766144 is an apocalyptic number.

73718766144 is the 271512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73718766144

73718766144 is an abundant number, since it is smaller than the sum of its proper divisors (146223519523).

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

73718766144 is an frugal number, since it uses more digits than its factorization.

73718766144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 424 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 73718766144 in words is "seventy-three billion, seven hundred eighteen million, seven hundred sixty-six thousand, one hundred forty-four".