22451145234 has 128 divisors (see below), whose sum is σ = 54855885312. Its totient is φ = 5979832320.

The previous prime is 22451145137. The next prime is 22451145247. The reversal of 22451145234 is 43254115422.

It is a junction number, because it is equal to n+sod(n) for n = 22451145195 and 22451145204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63600802 + ... + 63601154.

It is an arithmetic number, because the mean of its divisors is an integer number (428561604).

Almost surely, 2^22451145234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22451145234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27427942656).

22451145234 is an abundant number, since it is smaller than the sum of its proper divisors (32404740078).

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

22451145234 is a wasteful number, since it uses less digits than its factorization.

22451145234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980.

The product of its digits is 38400, while the sum is 33.

It can be divided in two parts, 224511 and 45234, that added together give a triangular number (269745 = T₇₃₄).

The spelling of 22451145234 in words is "twenty-two billion, four hundred fifty-one million, one hundred forty-five thousand, two hundred thirty-four".