73117245888 has 168 divisors, whose sum is σ = 230125018032. Its totient is φ = 22938660864.

The previous prime is 73117245853. The next prime is 73117245907. The reversal of 73117245888 is 88854271137.

73117245888 is a `hidden beast` number, since 7 + 31 + 1 + 7 + 24 + 588 + 8 = 666.

It is a super-2 number, since 2×73117245888² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126106 + ... + 402662.

It is an arithmetic number, because the mean of its divisors is an integer number (1369791774).

Almost surely, 2^73117245888 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 73117245888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115062509016).

73117245888 is an abundant number, since it is smaller than the sum of its proper divisors (157007772144).

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

73117245888 is a wasteful number, since it uses less digits than its factorization.

73117245888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276601 (or 276579 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The spelling of 73117245888 in words is "seventy-three billion, one hundred seventeen million, two hundred forty-five thousand, eight hundred eighty-eight".