4672222235136 has 320 divisors, whose sum is σ = 14153088787200. Its totient is φ = 1521295147008.

The previous prime is 4672222235123. The next prime is 4672222235137. The reversal of 4672222235136 is 6315322222764.

4672222235136 is a `hidden beast` number, since 4 + 6 + 72 + 2 + 222 + 351 + 3 + 6 = 666.

It is a super-2 number, since 2×4672222235136² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4672222235091 and 4672222235100.

It is not an unprimeable number, because it can be changed into a prime (4672222235137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167767965 + ... + 167795811.

It is an arithmetic number, because the mean of its divisors is an integer number (44228402460).

Almost surely, 2^{4672222235136} 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 4672222235136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076544393600).

4672222235136 is an abundant number, since it is smaller than the sum of its proper divisors (9480866552064).

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

4672222235136 is a wasteful number, since it uses less digits than its factorization.

4672222235136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28156 (or 28134 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 4672222235136 in words is "four trillion, six hundred seventy-two billion, two hundred twenty-two million, two hundred thirty-five thousand, one hundred thirty-six".