22735165313016 has 192 divisors, whose sum is σ = 69202188357120. Its totient is φ = 6690492483840.

The previous prime is 22735165312927. The next prime is 22735165313093. The reversal of 22735165313016 is 61031356153722.

22735165313016 is a `hidden beast` number, since 2 + 2 + 73 + 5 + 1 + 6 + 531 + 30 + 16 = 666.

It is a congruent number.

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, 195652965 + ... + 195769131.

It is an arithmetic number, because the mean of its divisors is an integer number (360428064360).

Almost surely, 2^{22735165313016} is an apocalyptic number.

22735165313016 is a gapful number since it is divisible by the number (26) 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 22735165313016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34601094178560).

22735165313016 is an abundant number, since it is smaller than the sum of its proper divisors (46467023044104).

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

22735165313016 is a wasteful number, since it uses less digits than its factorization.

22735165313016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125306 (or 125299 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 22735165313016 in words is "twenty-two trillion, seven hundred thirty-five billion, one hundred sixty-five million, three hundred thirteen thousand, sixteen".