73901167116 has 144 divisors (see below), whose sum is σ = 202122508896. Its totient is φ = 20953798656.

The previous prime is 73901167097. The next prime is 73901167141. The reversal of 73901167116 is 61176110937.

It is a super-2 number, since 2×73901167116² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75640420 + ... + 75641396.

It is an arithmetic number, because the mean of its divisors is an integer number (1403628534).

Almost surely, 2^73901167116 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 73901167116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101061254448).

73901167116 is an abundant number, since it is smaller than the sum of its proper divisors (128221341780).

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

73901167116 is a wasteful number, since it uses less digits than its factorization.

73901167116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 42.

The spelling of 73901167116 in words is "seventy-three billion, nine hundred one million, one hundred sixty-seven thousand, one hundred sixteen".